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endpoints.body: <!doctype html>  <head> <meta charset=utf-8> <meta content="width=device-width,initial-scale=1" name=viewport> <meta content=#333333 name=theme-color> <base href="/"> <link rel="stylesheet" href="client/main.262330497.css"> <noscript id='sapper-head-start'></noscript><title>w=vids</title><link rel="stylesheet" href="global.css"><link rel="manifest" href="manifest.json"><link rel="icon" type="image/png" href="favicon.png"><link href="https://fonts.googleapis.com/css?family=Poppins:400,500,700,900&display=swap" rel="stylesheet"><link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png?v=2"><link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png?v=2"><link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png?v=2"><link rel="manifest" href="/site.webmanifest?v=2"><link rel="shortcut icon" href="/favicon.ico?v=2"><meta name="msapplication-TileColor" content="#ffffff"><meta name="theme-color" content="#ffffff"><link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/katex.min.css" integrity="sha384-AfEj0r4/OFrOo5t7NnNe46zW/tFgW6x/bCJG8FqQCEo3+Aro6EYUG4+cU+KJWu/X" crossorigin="anonymous"><noscript id='sapper-head-end'></noscript> </head> <body> <div id=sapper>
  
  
  
  
  
  
  
  
  
  
  <div class="wrapper svelte-eihput"><header class="svelte-eihput"><div id="logo-responsive" class="logo-all svelte-1r5kbxp"><a id="logo-res" href="/" class="svelte-1r5kbxp"><img src="../logo-responsive.svg" alt="Online wiskunde uitleg"></a></div>
  <a class="logo logo-all svelte-1r5kbxp" href="/"><img id="logo" src="../logo.svg" alt="Online wiskunde uitleg" class="svelte-1r5kbxp"></a>
  
  <nav class="nav-account svelte-1r5kbxp"><a href="/account/inloggen" class="svelte-1r5kbxp">Inloggen</a></nav></header></div>
  <div class="wrapper svelte-1yjjo8q"><div class="intro-responsive-wrapper svelte-1yjjo8q"><div class="intro-responsive padding svelte-1yjjo8q"><div class="intro-h1-responsive"><h1 class="svelte-1yjjo8q">Meteen de moeilijke wiskunde stof eindelijk begrijpen</h1>
  
            <p>Met interactieve video&#39;s van Wisvids worden moelijke opgaven stap voor stap uitgelegd</p>
            <div class="gratis-mobile svelte-1yjjo8q"><button class="primary-button  svelte-1yjjo8q">Probeer nu
              </button>
              <div class="stars svelte-1yjjo8q"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 20 20" class="svelte-1yjjo8q"><g id="star_rate-24px" transform="translate(-2.252 -2)"><path id="Path_12" data-name="Path 12" d="M14.43,10,12,2,9.57,10H2l6.18,4.41L5.83,22,12,17.31,18.18,22l-2.35-7.59L22,10Z" transform="translate(0.252)" fill="#fedb00"></path></g></svg>
                <svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 20 20" class="svelte-1yjjo8q"><g id="star_rate-24px" transform="translate(-2.252 -2)"><path id="Path_12" data-name="Path 12" d="M14.43,10,12,2,9.57,10H2l6.18,4.41L5.83,22,12,17.31,18.18,22l-2.35-7.59L22,10Z" transform="translate(0.252)" fill="#fedb00"></path></g></svg>
                <svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 20 20" class="svelte-1yjjo8q"><g id="star_rate-24px" transform="translate(-2.252 -2)"><path id="Path_12" data-name="Path 12" d="M14.43,10,12,2,9.57,10H2l6.18,4.41L5.83,22,12,17.31,18.18,22l-2.35-7.59L22,10Z" transform="translate(0.252)" fill="#fedb00"></path></g></svg>
                <svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 20 20" class="svelte-1yjjo8q"><g id="star_rate-24px" transform="translate(-2.252 -2)"><path id="Path_12" data-name="Path 12" d="M14.43,10,12,2,9.57,10H2l6.18,4.41L5.83,22,12,17.31,18.18,22l-2.35-7.59L22,10Z" transform="translate(0.252)" fill="#fedb00"></path></g></svg>
                <svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" class="svelte-1yjjo8q"><g id="star_border-24px" opacity="0.4"><path id="Path_13" data-name="Path 13" d="M0,0H24V24H0Z" fill="rgba(246,241,241,0)"></path><path id="Path_14" data-name="Path 14" d="M22,9.24l-7.19-.62L12,2,9.19,8.63,2,9.24l5.46,4.73L5.82,21,12,17.27,18.18,21l-1.63-7.03ZM12,15.4,8.24,17.67l1-4.28L5.92,10.51l4.38-.38L12,6.1l1.71,4.04,4.38.38L14.77,13.4l1,4.28Z" fill="#fff" opacity="0.77"></path></g></svg>
                <div class="startext svelte-1yjjo8q"><b>152 leerlingen </b>  al geholpen met <br>
                  voldoendes voor wiskunde
                </div></div></div></div></div></div>
      <div class="intro-text-responsive padding svelte-1yjjo8q"><p>De video&#39;s worden tussendoor onderbroken met vragen om te checken of je begrijpt wat er in de video wordt uitgelegd. Zo kun je in jouw eigen tempo je huiswerk maken en je goed voorbereiden op de volgende toets.
    </p></div>
      <div class="intro padding intro-desktop svelte-1yjjo8q"><div class="intro-h1-desktop svelte-1yjjo8q"><h1 class="svelte-1yjjo8q">Meteen de moeilijke<br> wiskunde stof <br> eindelijk begrijpen</h1>
            <div class="gratis svelte-1yjjo8q"><button class="primary-button  svelte-1yjjo8q">Probeer nu
              </button>
              <div class="stars svelte-1yjjo8q"><svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 20 20" class="svelte-1yjjo8q"><g id="star_rate-24px" transform="translate(-2.252 -2)"><path id="Path_12" data-name="Path 12" d="M14.43,10,12,2,9.57,10H2l6.18,4.41L5.83,22,12,17.31,18.18,22l-2.35-7.59L22,10Z" transform="translate(0.252)" fill="#fedb00"></path></g></svg>
                <svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 20 20" class="svelte-1yjjo8q"><g id="star_rate-24px" transform="translate(-2.252 -2)"><path id="Path_12" data-name="Path 12" d="M14.43,10,12,2,9.57,10H2l6.18,4.41L5.83,22,12,17.31,18.18,22l-2.35-7.59L22,10Z" transform="translate(0.252)" fill="#fedb00"></path></g></svg>
                <svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 20 20" class="svelte-1yjjo8q"><g id="star_rate-24px" transform="translate(-2.252 -2)"><path id="Path_12" data-name="Path 12" d="M14.43,10,12,2,9.57,10H2l6.18,4.41L5.83,22,12,17.31,18.18,22l-2.35-7.59L22,10Z" transform="translate(0.252)" fill="#fedb00"></path></g></svg>
                <svg xmlns="http://www.w3.org/2000/svg" width="20" height="20" viewBox="0 0 20 20" class="svelte-1yjjo8q"><g id="star_rate-24px" transform="translate(-2.252 -2)"><path id="Path_12" data-name="Path 12" d="M14.43,10,12,2,9.57,10H2l6.18,4.41L5.83,22,12,17.31,18.18,22l-2.35-7.59L22,10Z" transform="translate(0.252)" fill="#fedb00"></path></g></svg>
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                <div class="startext svelte-1yjjo8q"><b>152 leerlingen </b>  al geholpen met <br>
                  voldoendes voor wiskunde
                </div></div></div></div>
  
        <div class="intro-text-desktop svelte-1yjjo8q"><p>Met interactieve video&#39;s van Wisvids worden moelijke opgaven stap voor stap uitgelegd.  De video&#39;s worden tussendoor onderbroken met vragen om te checken of je begrijpt wat er in de video wordt uitgelegd. Zo kun je in jouw eigen tempo je huiswerk maken en je goed voorbereiden op de volgende toets.
          </p></div></div></div>
    <div class="wrapper-black svelte-1yjjo8q"><div class="wrapper svelte-1yjjo8q">
  
      <div class="video svelte-v12n3y"><div id="vimeoVideo" class="svelte-v12n3y has-overlay"><div class="img-container svelte-v12n3y"><img src="https://i.vimeocdn.com/filter/overlay?src0=https%3A%2F%2Fi.vimeocdn.com%2Fvideo%2F812553392-69fc1e378e9262a52954ea1606b7a32466924a8f63a847d60c26a8b3901fcadf-d_1920x1080&amp;src1=http%3A%2F%2Ff.vimeocdn.com%2Fp%2Fimages%2Fcrawler_play.png" alt="video" class="svelte-v12n3y"></div></div>
  
        <div class="overlay svelte-v12n3y"><div class="top-half svelte-v12n3y"></div>
            <div class="bottom-half svelte-v12n3y"><h2 class="svelte-v12n3y">Voorbeeld interactieve video</h2>
  
                <h3 class="svelte-v12n3y">Ververs pagina (F5)</h3>
  
                <h3 class="svelte-v12n3y">om een andere video te zien</h3></div></div></div>
    </div></div>
    
    <div class="wrapper-grey svelte-1yjjo8q"><div class="wrapper padding svelte-1yjjo8q"><div class="info-fold svelte-na02bp"><h2 class="svelte-na02bp">Wat zijn interactieve video&#39;s?</h2>
     <div class="flexgrid svelte-na02bp"><div class="icon veel-videos svelte-na02bp"><div class="icon-image svelte-na02bp"><img class="icon-video svelte-na02bp" src="/icons-1000-videos.svg" alt="Icoon instructievideos"></div>
        <p class="svelte-na02bp">In een video wordt een<br>
          opgave stap voor stap<br>
          uitgewerkt</p></div>
      <div class="icon echte-docenten svelte-na02bp"><div class="icon-image svelte-na02bp"><img class="pause-icon svelte-na02bp" src="/icons-pause.svg" alt="Icoon onderbreking"></div>
        <p class="svelte-na02bp">Actief meedoen door middel van <br>
         onderbrekingen met vragen <br>
         tijdens de video 
        </p></div>
      <div class="icon eigen-tempo svelte-na02bp"><div class="icon-image svelte-na02bp"><img src="/icons-quiz.svg" alt="Icoon quiz"></div>
        <p class="svelte-na02bp">Na de video kan je <br>
          onbeperkt oefenen tot je <br>
          zeker weet dat je het begrijpt</p></div></div></div></div></div>
    <div class="wrapper-black svelte-1yjjo8q"><div class="wrapper svelte-1yjjo8q"><div class="voorbeeld-video svelte-1yjjo8q"><div class="embed-container svelte-1yjjo8q"><iframe width="560" height="315" title="Introductie video Wisvids" src="https://www.youtube.com/embed/r3AK9qJeCLY" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen class="svelte-1yjjo8q"></iframe></div></div></div></div>
  
  
    <div class="wrapper svelte-1yjjo8q"><div class="content-block quote-block svelte-15zwbeo"><img class="quote svelte-15zwbeo" src="../quotes.svg" alt="Quote">
      <div class="text svelte-15zwbeo"><b>&quot;Mijn docent van wiskunde legt niet goed uit. Hij leest gewoon voor wat al in het boek staat. Daarom had ik problemen met het begrijpen van de oefeningen.
          <br>
          <br>
          Maar nu dat ik Wisvids heb gaat het echt veel makkelijker... Ik ben echt blij met Wisvids Ik heb zelf een vriendin van mij geholpen met een paar oefeningen van wiskunde 😃&quot;
        </b>
        <br>
        <br>
        - Leerling Wisvids basis
      </div>
  
      <div class="text svelte-15zwbeo"><b>&quot;De vragen tussendoor zijn fijn. Had een 5,8 voor mijn herkansing.&quot; (was eerst een 4,3)
        </b>
        <br>
        <br>
        - Leerling Wisvids basis
      </div>
  
      <div class="text svelte-15zwbeo"><b>&quot;Ik heb een 5,3 voor wiskunde, dat is voor mij een hele verbetering omdat ik vorig jaar niet eens boven de 4 voor toetsen kon halen. En dan ook nog eens voor 2 hoofdstukken! Mijn mentor was er in ieder geval heel trots op! 
        </b>
        <br>
        <br>
        - Leerling Wisvids compleet
      </div>
  
      <div class="text svelte-15zwbeo"><b>&quot;ik wil trouwens even zeggen dat ik echt blij ben met deze manier van bijles, tot nu toe heeft het mij echt al goed geholpen.&quot; 
        </b>
        <br>
        <br>
        - Leerling Wisvids compleet
      </div>
      <div class="text svelte-15zwbeo"><b>&quot;Ik vond het goed gaan tijdens toetsen had ik een veel beter gevoel en vond de opdrachten vaak makkelijker. Ik zou graag door willen gaan met de bijlessen voor extra ondersteuning :)&quot; <br></b>
        <br>
        <br>
        - Leerling Wisvids compleet
      </div></div></div>
  
    <div class="wrapper-grey svelte-1yjjo8q"><div class="wrapper svelte-1yjjo8q"><div class="info-fold svelte-6qj33m"><h2 class="svelte-6qj33m">Veelgestelde vragen</h2>
       <div class="faqitems svelte-6qj33m"><div class="faqitem svelte-6qj33m"><div class="card cardquestion closed svelte-6qj33m">Wie kan Wisvids gebruiken?
  
                  <svg id="Group_15" data-name="Group 15" xmlns="http://www.w3.org/2000/svg" width="36" height="36" viewBox="0 0 36 36" class="svelte-6qj33m"><line id="Line_2" data-name="Line 2" y2="36" transform="translate(18)" fill="none" stroke="#1a3431" stroke-width="2"></line><line id="Line_3" data-name="Line 3" y1="36" transform="translate(36 18) rotate(90)" fill="none" stroke="#1a3431" stroke-width="2"></line></svg></div>
              <div class="card cardanswer answer-closed svelte-6qj33m">Wisvids is gemaakt voor leerlingen van het voortgezet onderwijs. We hebben nu alleen video&#39;s voor Havo 4 en 5.
              </div></div>
          
          
          
          </div></div></div></div>
  
    
  
    
  
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wordt $$1 - x$$, bij het vermenigvuldigen van de breuken $$\\enspace 7 \\cdot \\cfrac{4}{x} \\cdot \\cfrac{1-x}{x}$$, tussen haakjes genoteerd?",questionOutput:"Waarom wordt \u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.72777em;vertical-align:-0.08333em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E1\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E−\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.43056em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E, bij het vermenigvuldigen van de breuken \u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.5em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E7\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E⋅\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:2.276em;vertical-align:-0.686em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mopen nulldelimiter\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mfrac\"\u003E\u003Cspan class=\"vlist-t vlist-t2\"\u003E\u003Cspan class=\"vlist-r\"\u003E\u003Cspan class=\"vlist\" style=\"height:1.5899999999999999em;\"\u003E\u003Cspan style=\"top:-2.314em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan style=\"top:-3.23em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan style=\"top:-3.74em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mord\"\u003E4\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"vlist-s\"\u003E​\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"vlist-r\"\u003E\u003Cspan class=\"vlist\" style=\"height:0.686em;\"\u003E\u003Cspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E⋅\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:2.276em;vertical-align:-0.686em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mopen nulldelimiter\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mfrac\"\u003E\u003Cspan class=\"vlist-t vlist-t2\"\u003E\u003Cspan class=\"vlist-r\"\u003E\u003Cspan class=\"vlist\" style=\"height:1.5899999999999999em;\"\u003E\u003Cspan style=\"top:-2.314em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan style=\"top:-3.23em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan style=\"top:-3.74em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mord\"\u003E1\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E−\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"vlist-s\"\u003E​\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"vlist-r\"\u003E\u003Cspan class=\"vlist\" style=\"height:0.686em;\"\u003E\u003Cspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E, tussen haakjes genoteerd?",multipleChoiceAnswers:[{"@id":"\u002Fapi\u002Fmultiple_choice_answers\u002Fe657a530-aef9-11ea-8211-02420a00134e","@type":t,id:"e657a530-aef9-11ea-8211-02420a00134e",answerInput:"Omdat $$1 - x$$ vermenigvuldigd moet worden met twee getallen $$\\rightarrow$$ $$7$$ en $$4$$",answerOutput:"Omdat \u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.72777em;vertical-align:-0.08333em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E1\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E−\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.43056em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E vermenigvuldigd moet worden met twee getallen \u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.36687em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mrel\"\u003E→\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E \u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E7\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E en \u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E4\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E",answerFeedbackInput:u,answerFeedbackOutput:y,weight:an,correct:c},{"@id":"\u002Fapi\u002Fmultiple_choice_answers\u002Fe664896d-aef9-11ea-8211-02420a00134e","@type":t,id:"e664896d-aef9-11ea-8211-02420a00134e",answerInput:am,answerOutput:am,answerFeedbackInput:u,answerFeedbackOutput:y,weight:al,correct:c},{"@id":"\u002Fapi\u002Fmultiple_choice_answers\u002Fe6715857-aef9-11ea-8211-02420a00134e","@type":t,id:"e6715857-aef9-11ea-8211-02420a00134e",answerInput:"Omdat uit $$1 - x$$ een negatief antwoord komt",answerOutput:"Omdat uit \u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.72777em;vertical-align:-0.08333em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E1\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E−\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.43056em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E een negatief antwoord komt",answerFeedbackInput:u,answerFeedbackOutput:y,weight:ak,correct:c},{"@id":"\u002Fapi\u002Fmultiple_choice_answers\u002Fe67d2e92-aef9-11ea-8211-02420a00134e","@type":t,id:"e67d2e92-aef9-11ea-8211-02420a00134e",answerInput:"Omdat beide termen moeten worden vermenigvuldigd met $$7 \\cdot 4$$",answerOutput:"Omdat beide termen moeten worden vermenigvuldigd met \u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E7\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E⋅\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E4\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E",answerFeedbackInput:u,answerFeedbackOutput:y,weight:aj,correct:b}],id:"e64be3e0-aef9-11ea-8211-02420a00134e",name:"Waarom wordt $$1 - x$$, b"}},{"@id":"\u002Fapi\u002Fvideo_widgets\u002F35bad282-daef-11ea-ad9c-02420a001379","@type":ao,id:"35bad282-daef-11ea-ad9c-02420a001379",breakTime:75.75,widget:{"@id":"\u002Fapi\u002Fquizzes\u002F35ae8e3b-daef-11ea-ad9c-02420a001379","@type":"Quiz",isActive:b,quizItems:[{"@id":"\u002Fapi\u002Fquiz_items\u002F453a4c56-daef-11ea-ad9c-02420a001379","@type":"QuizItem",id:"453a4c56-daef-11ea-ad9c-02420a001379",widget:{"@id":"\u002Fapi\u002Fregex_multiple_choice_widgets\u002F44ec2278-daef-11ea-ad9c-02420a001379","@type":"RegexMultipleChoiceWidget",question:"$$!!a!! \\cdot \\cfrac{!!b!!}{x} \\cdot \\cfrac{!!c!! - x}{x} =$$\n\n--gen([2-9])::a--\n--gen([4-7])::bb--\n--gen([1-3])::c--\n--ifTrue(!!bb!!===!!a!!?##!!bb!!-1##:!!bb!!)::b--\n\n--##!!a!!*!!b!!*!!c!!##::d--\n--##!!a!!*!!b!!##::e--\n--##!!b!!*!!c!!##::f--",answers:[{"@id":"\u002Fapi\u002Fregex_multiple_choice_answers\u002F44f51b6a-daef-11ea-ad9c-02420a001379","@type":j,id:"44f51b6a-daef-11ea-ad9c-02420a001379",antwoord:"$$\\cfrac{!!d!! - !!e!!x}{x^2}$$",uitleg:"Regel 1 $$\\qquad !!a!! \\cdot \\cfrac{!!b!!}{x} \\cdot \\cfrac{!!c!! - x}{x} =$$ \u003Cdiv style=\"line-height:50%;\"\u003E \u003Cbr\u003E \u003C\u002Fdiv\u003E\nRegel 2 $$\\qquad \\cfrac{!!a!!}{1} \\cdot \\cfrac{!!b!!}{x} \\cdot \\cfrac{!!c!! - x}{x} =$$ \u003Cdiv style=\"line-height:50%;\"\u003E \u003Cbr\u003E \u003C\u002Fdiv\u003E\nRegel 3 $$\\qquad \\cfrac{!!a!! \\cdot !!b!! \\cdot (!!c!! - x)}{1 \\cdot x \\cdot x} =$$ \u003Cdiv style=\"line-height:50%;\"\u003E \u003Cbr\u003E \u003C\u002Fdiv\u003E\nRegel 4 $$\\qquad \\cfrac{!!e!! \\cdot (!!c!! - x)}{x^2} =$$ \u003Cdiv style=\"line-height:50%;\"\u003E \u003Cbr\u003E \u003C\u002Fdiv\u003E\nRegel 5 $$\\qquad \\cfrac{!!d!! - !!e!!x}{x^2}$$ \u003Cbr\u003E\n\u003Cbr\u003E\n\u003Cb\u003ERegel 1 naar 2\u003C\u002Fb\u003E\u003Cbr\u003E\n$$!!a!! = \\cfrac{!!a!!}{1}$$ \u003Cbr\u003E\n\u003Cb\u003ERegel 2 naar 3\u003C\u002Fb\u003E\u003Cbr\u003E\nGebruik de regel: $$\\enspace \\cfrac{a}{b} \\cdot \\cfrac{c}{d} \\cdot \\cfrac{e}{f} = \\cfrac{a \\cdot c \\cdot e}{b \\cdot d \\cdot f}$$ \u003Cbr\u003E\n\u003Cb\u003ERegel 3 naar 4\u003C\u002Fb\u003E\u003Cbr\u003E\nVermenigvuldig de eerste twee factoren in de teller van de breuk: $$\\enspace !!a!! \\cdot !!b!! = !!e!!$$ \u003Cbr\u003E\nVermenigvuldig de drie factoren in de noemer van de breuk: $$\\enspace 1 \\cdot x \\cdot x = x^2$$ \u003Cbr\u003E\n\u003Cb\u003ERegel 4 naar 5\u003C\u002Fb\u003E\u003Cbr\u003E\nWerk de haakjes weg in de teller van de breuk: $$\\enspace !!e!! \\cdot (!!c!! - x) = !!e!!(!!c!! - x) = !!d!! - !!e!!x$$",weight:an,correct:b},{"@id":"\u002Fapi\u002Fregex_multiple_choice_answers\u002F45001346-daef-11ea-ad9c-02420a001379","@type":j,id:"45001346-daef-11ea-ad9c-02420a001379",antwoord:"$$\\cfrac{!!d!! - !!e!!x}{2x}$$",uitleg:s,weight:al,correct:c},{"@id":"\u002Fapi\u002Fregex_multiple_choice_answers\u002F450acfc4-daef-11ea-ad9c-02420a001379","@type":j,id:"450acfc4-daef-11ea-ad9c-02420a001379",antwoord:"$$\\cfrac{!!d!! - x}{x^2}$$",uitleg:s,weight:ak,correct:c},{"@id":"\u002Fapi\u002Fregex_multiple_choice_answers\u002F45169ec4-daef-11ea-ad9c-02420a001379","@type":j,id:"45169ec4-daef-11ea-ad9c-02420a001379",antwoord:"$$\\cfrac{!!d!! - !!e!!x}{!!a!!x^2}$$",uitleg:s,weight:aj,correct:c},{"@id":"\u002Fapi\u002Fregex_multiple_choice_answers\u002F452258b3-daef-11ea-ad9c-02420a001379","@type":j,id:"452258b3-daef-11ea-ad9c-02420a001379",antwoord:"$$\\cfrac{!!f!! - x}{!!a!!x^2}$$",uitleg:s,weight:5,correct:c},{"@id":"\u002Fapi\u002Fregex_multiple_choice_answers\u002F452dd650-daef-11ea-ad9c-02420a001379","@type":j,id:"452dd650-daef-11ea-ad9c-02420a001379",antwoord:"$$\\cfrac{!!f!! - !!b!!x}{!!a!!x^2}$$",uitleg:s,weight:6,correct:c}],id:"44ec2278-daef-11ea-ad9c-02420a001379",name:"v"},type:"Willekeurig"}],id:"35ae8e3b-daef-11ea-ad9c-02420a001379",name:"358823342-$$7 \\cdot \\cfrac{4}{x} \\cdot \\cfrac{1-x}{x}$$-37e"}}],id:"481c9392-d538-11e9-873e-02420a00130e"},teaserTitle:a,mainVideoLinkConnections:[{"@id":ai,"@type":v,id:"f304f975-9903-11ea-8be2-02420a001307",mainVideoLink:x,subjectVideoLink:{"@id":"\u002Fapi\u002Fvideo_links\u002Ffind\u002F2743924c-9903-11ea-8be2-02420a001307","@type":r,id:"2743924c-9903-11ea-8be2-02420a001307",teaserTitle:"$$\\enspace 5x \\cdot  \\cfrac{6x-1}{2x+1} $$",subjectVideoLinkConnections:[ai],katexTeaserTitle:"\u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.5em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E5\u003C\u002Fspan\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E⋅\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:2.35933em;vertical-align:-0.7693300000000001em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mopen nulldelimiter\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mfrac\"\u003E\u003Cspan class=\"vlist-t vlist-t2\"\u003E\u003Cspan class=\"vlist-r\"\u003E\u003Cspan class=\"vlist\" style=\"height:1.5899999999999999em;\"\u003E\u003Cspan style=\"top:-2.314em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mord\"\u003E2\u003C\u002Fspan\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E+\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E1\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan style=\"top:-3.23em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan style=\"top:-3.74em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mord\"\u003E6\u003C\u002Fspan\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E−\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E1\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"vlist-s\"\u003E​\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"vlist-r\"\u003E\u003Cspan class=\"vlist\" style=\"height:0.7693300000000001em;\"\u003E\u003Cspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E",alias:"harbv1-102",uitgelichteVideos:[],teaserLabel:a,colorTeaserLabel:a,extraTeaserInfo:a,katexExtraTeaserInfo:a,videoLinkListItems:[{"@id":"\u002Fapi\u002Fvideo_link_list_items\u002F27560df3-9903-11ea-8be2-02420a001307","@type":g,id:"27560df3-9903-11ea-8be2-02420a001307",videoLinkList:{"@id":U,"@type":i,id:z,page:{"@id":W,"@type":l,id:e,title:d,uitgelichteVideos:[],image:q,alias:k,simplifiedChildsPage:[],hasParent:b,breadCrumps:[{id:$,title:aa,totalNumberOfVideos:ab,image:ac},{id:ad,title:ae,totalNumberOfVideos:af,alias:Y,image:T},{id:Q,title:P,totalNumberOfVideos:O,alias:N,image:f},{id:e,title:d,totalNumberOfVideos:L,alias:k,image:q}]},title:H,titleKatex:ag,teaserDisplayFormat:a}}],videoTitle:a},type:w}],subjectVideoLinkConnections:[{"@id":"\u002Fapi\u002Fvideo_link_connections\u002F7781baf1-62da-11ea-81bd-02420a001390","@type":v,id:"7781baf1-62da-11ea-81bd-02420a001390",mainVideoLink:{"@id":"\u002Fapi\u002Fvideo_links\u002Ffind\u002F40b2d0e2-62da-11ea-81bd-02420a001390","@type":r,id:"40b2d0e2-62da-11ea-81bd-02420a001390",teaserTitle:"$$x \\cdot \\cfrac{3x+2}{x}$$",katexTeaserTitle:"\u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.44445em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E⋅\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:2.276em;vertical-align:-0.686em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mopen nulldelimiter\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mfrac\"\u003E\u003Cspan class=\"vlist-t vlist-t2\"\u003E\u003Cspan class=\"vlist-r\"\u003E\u003Cspan class=\"vlist\" style=\"height:1.5899999999999999em;\"\u003E\u003Cspan style=\"top:-2.314em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan style=\"top:-3.23em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan style=\"top:-3.74em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mord\"\u003E3\u003C\u002Fspan\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E+\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E2\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"vlist-s\"\u003E​\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"vlist-r\"\u003E\u003Cspan class=\"vlist\" style=\"height:0.686em;\"\u003E\u003Cspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E",alias:"harbv1-9",uitgelichteVideos:[],teaserLabel:a,colorTeaserLabel:a,extraTeaserInfo:a,katexExtraTeaserInfo:a,videoLinkListItems:[{"@id":"\u002Fapi\u002Fvideo_link_list_items\u002F40c16728-62da-11ea-81bd-02420a001390","@type":g,id:"40c16728-62da-11ea-81bd-02420a001390",videoLinkList:{"@id":U,"@type":i,id:z,page:{"@id":W,"@type":l,id:e,title:d,uitgelichteVideos:[],image:q,alias:k,simplifiedChildsPage:[],hasParent:b,breadCrumps:[{id:$,title:aa,totalNumberOfVideos:ab,image:ac},{id:ad,title:ae,totalNumberOfVideos:af,alias:Y,image:T},{id:Q,title:P,totalNumberOfVideos:O,alias:N,image:f},{id:e,title:d,totalNumberOfVideos:L,alias:k,image:q}]},title:H,titleKatex:ag,teaserDisplayFormat:a}}],videoTitle:a},subjectVideoLink:x,type:w}],katexTeaserTitle:a,alias:a,uitgelichteVideos:[],teaserLabel:a,colorTeaserLabel:a,extraTeaserInfo:a,katexExtraTeaserInfo:a,videoLinkListItems:[{"@id":"\u002Fapi\u002Fvideo_link_list_items\u002F4feb374e-62da-11ea-81bd-02420a001390","@type":g,id:"4feb374e-62da-11ea-81bd-02420a001390",videoLinkList:{"@id":U,"@type":i,id:z,page:{"@id":W,"@type":l,id:e,title:d,uitgelichteVideos:[],image:q,alias:k,simplifiedChildsPage:[],hasParent:b,breadCrumps:[{id:$,title:aa,totalNumberOfVideos:ab,image:ac},{id:ad,title:ae,totalNumberOfVideos:af,alias:Y,image:T},{id:Q,title:P,totalNumberOfVideos:O,alias:N,image:f},{id:e,title:d,totalNumberOfVideos:L,alias:k,image:q}]},title:H,titleKatex:ag,teaserDisplayFormat:a}}],videoTitle:a}}}(null,true,false,"Breuken vermenigvuldigen","22b6504d-62d9-11ea-81bd-02420a001390","\u002Fpages\u002Fheader-4.jpg","VideoLinkListItem","Alle video's","VideoLinkList","RegexMultipleChoiceAnswer","ha-breuken-vermenigvuldigen","Page","ce3832d4-862b-11ea-ba17-02420a001381","Paragraaf 1.3","\u002Fpages\u002Fheader-7.jpg","ha-g013","\u002Fpages\u002Fheader-11.jpg","VideoLink","Regel 1 $$\\qquad !!a!! \\cdot \\cfrac{!!b!!}{x} \\cdot \\cfrac{!!c!! - x}{x} =$$ \u003Cdiv style=\"line-height:50%;\"\u003E \u003Cbr\u003E \u003C\u002Fdiv\u003E\nRegel 2 $$\\qquad \\cfrac{!!a!!}{1} \\cdot \\cfrac{!!b!!}{x} \\cdot \\cfrac{!!c!! - x}{x} =$$ \u003Cdiv style=\"line-height:50%;\"\u003E \u003Cbr\u003E \u003C\u002Fdiv\u003E\nRegel 3 $$\\qquad \\cfrac{!!a!! \\cdot !!b!! \\cdot (!!c!! - x)}{1 \\cdot x \\cdot x} =$$ \u003Cdiv style=\"line-height:50%;\"\u003E \u003Cbr\u003E \u003C\u002Fdiv\u003E\nRegel 4 $$\\qquad \\cfrac{!!e!! \\cdot (!!c!! - x)}{x^2} =$$ \u003Cdiv style=\"line-height:50%;\"\u003E \u003Cbr\u003E \u003C\u002Fdiv\u003E\nRegel 5 $$\\qquad ...$$ \u003Cbr\u003E\n\u003Cbr\u003E\n\u003Cb\u003ERegel 1 naar 2\u003C\u002Fb\u003E\u003Cbr\u003E\n$$!!a!! = \\cfrac{!!a!!}{1}$$ \u003Cbr\u003E\n\u003Cb\u003ERegel 2 naar 3\u003C\u002Fb\u003E\u003Cbr\u003E\nGebruik de regel: $$\\enspace \\cfrac{a}{b} \\cdot \\cfrac{c}{d} \\cdot \\cfrac{e}{f} = \\cfrac{a \\cdot c \\cdot e}{b \\cdot d \\cdot f}$$ \u003Cbr\u003E\n\u003Cb\u003ERegel 3 naar 4\u003C\u002Fb\u003E\u003Cbr\u003E\nVermenigvuldig de eerste twee factoren in de teller van de breuk: $$\\enspace !!a!! \\cdot !!b!! = !!e!!$$ \u003Cbr\u003E\nVermenigvuldig de drie factoren in de noemer van de breuk: $$\\enspace 1 \\cdot x \\cdot x = x^2$$ \u003Cbr\u003E\n\u003Cb\u003ERegel 4 naar 5\u003C\u002Fb\u003E\u003Cbr\u003E\nWerk de haakjes weg in de teller van de breuk: $$\\enspace !!e!! \\cdot (!!c!! - x) = !!e!!(!!c!! - x) = !!d!! - !!e!!x$$","MultipleChoiceAnswer","$$7 \\cdot \\cfrac{4}{x} \\cdot \\cfrac{1-x}{x} = \\cfrac{7}{1} \\cdot \\cfrac{4}{x} \\cdot \\cfrac{1-x}{x} = \\cfrac{7 \\cdot 4 \\cdot (1 - x)}{1 \\cdot x \\cdot x}$$","VideoLinkConnection","order","\u002Fapi\u002Fvideo_links\u002Ffind\u002F4fe05aa4-62da-11ea-81bd-02420a001390","\u003Cspan class=\"katex\"\u003E\u003Cspan class=\"katex-html\" aria-hidden=\"true\"\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:0.64444em;vertical-align:0em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E7\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mbin\"\u003E⋅\u003C\u002Fspan\u003E\u003Cspan class=\"mspace\" style=\"margin-right:0.2222222222222222em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"base\"\u003E\u003Cspan class=\"strut\" style=\"height:2.276em;vertical-align:-0.686em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mopen nulldelimiter\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mfrac\"\u003E\u003Cspan class=\"vlist-t vlist-t2\"\u003E\u003Cspan class=\"vlist-r\"\u003E\u003Cspan class=\"vlist\" style=\"height:1.5899999999999999em;\"\u003E\u003Cspan style=\"top:-2.314em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mord mathdefault\"\u003Ex\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan style=\"top:-3.23em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\"\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan style=\"top:-3.74em;\"\u003E\u003Cspan class=\"pstrut\" style=\"height:3em;\"\u003E\u003C\u002Fspan\u003E\u003Cspan class=\"mord\"\u003E\u003Cspan class=\"mord\"\u003E4\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan 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style=\"height:0.686em;\"\u003E\u003Cspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003Cspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E\u003C\u002Fspan\u003E","66c415bc-62d9-11ea-81bd-02420a001390",205,"Hoofdstuk 1",49,"ce297a2a-862b-11ea-ba17-02420a001381","klein","\u002Fpages\u002Fheader-2.jpg","37d","Breuken met letters vermenigvuldigen",1263,"Getal en Ruimte 11e editie Havo 4\u002F5 Wiskunde A","c90062a6-862b-11ea-ba17-02420a001381",17,"\u002Fapi\u002Fpages\u002Ffind\u002Fce3832d4-862b-11ea-ba17-02420a001381","ha-breuken-decimale-getallen",47,"Breuken en decimale 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