47 lines
27 KiB
HTML
47 lines
27 KiB
HTML
<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="utf-8">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.21/dist/katex.min.css" integrity="sha384-zh0CIslj+VczCZtlzBcjt5ppRcsAmDnRem7ESsYwWwg3m/OaJ2l4x7YBZl9Kxxib" crossorigin="anonymous">
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<title>Breuken</title>
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<style>*{margin:0;padding:0}h1{font-size:24pt;margin-bottom:8pt}h2{font-size:18pt;margin-bottom:8pt}h3{font-size:16pt;margin-bottom:8pt}p{margin-bottom:12pt}body{display:flex;flex-direction:row;font-family:Courier New,Courier,monospace}nav{padding-top:12pt;display:flex;flex-direction:column;background-color:#4682b4;min-width:120pt;height:100vh}nav a{padding:0 4pt 8pt 18pt;display:inline-block;font-size:large;color:#f5f5f5}nav a:hover{background-image:linear-gradient(to bottom,#4682b4,#191970)}article{padding-top:12pt;padding-left:12pt;width:100%}
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</style></head>
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<body>
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<nav>
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<a href="/"><strong>Home</strong></a>
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<a href="/breuken">Breuken</a>
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<a href="/wortels">Wortels</a>
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<a href="/machten">Machten</a>
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</nav>
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<article>
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<h1 id="breuken">Breuken</h1>
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<h2 id="vermenigvuldigen">Vermenigvuldigen</h2>
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<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathsize="1.44em"><mfrac><mstyle mathcolor="blue"><mi>a</mi></mstyle><mstyle mathcolor="red"><mi>b</mi></mstyle></mfrac><mo>⋅</mo><mfrac><mstyle mathcolor="green"><mi>c</mi></mstyle><mstyle mathcolor="orange"><mi>d</mi></mstyle></mfrac><mo>=</mo><mfrac><mrow><mstyle mathcolor="blue"><mi>a</mi></mstyle><mo>⋅</mo><mstyle mathcolor="green"><mi>c</mi></mstyle></mrow><mrow><mstyle mathcolor="red"><mi>b</mi></mstyle><mo>⋅</mo><mstyle mathcolor="orange"><mi>d</mi></mstyle></mrow></mfrac></mstyle></mrow><annotation encoding="application/x-tex">\Large
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\frac{\textcolor{blue}{a}}{\textcolor{red}{b}}
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\cdot
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\frac{\textcolor{green}{c}}{\textcolor{orange}{d}}
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=
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\frac{\textcolor{blue}{a}\cdot \textcolor{green}{c}}{\textcolor{red}{b}\cdot \textcolor{orange}{d}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.5827em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:blue;">a</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin sizing reset-size6 size8">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:2.5827em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:orange;">d</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:green;">c</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:2.6027em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1215em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord mathnormal" style="color:orange;">d</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:blue;">a</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord mathnormal" style="color:green;">c</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span></span></span></span></span>
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<h2 id="optellen">Optellen</h2>
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<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathsize="1.44em"><mfrac><mstyle mathcolor="blue"><mi>a</mi></mstyle><mstyle mathcolor="red"><mi>b</mi></mstyle></mfrac><mo>+</mo><mfrac><mstyle mathcolor="green"><mi>c</mi></mstyle><mstyle mathcolor="orange"><mi>d</mi></mstyle></mfrac><mo>=</mo><mfrac><mrow><mo stretchy="false">(</mo><mstyle mathcolor="blue"><mi>a</mi></mstyle><mo>⋅</mo><mstyle mathcolor="orange"><mi>d</mi></mstyle><mo stretchy="false">)</mo><mo>+</mo><mo stretchy="false">(</mo><mstyle mathcolor="green"><mi>c</mi></mstyle><mo>⋅</mo><mstyle mathcolor="red"><mi>b</mi></mstyle><mo stretchy="false">)</mo></mrow><mrow><mstyle mathcolor="red"><mi>b</mi></mstyle><mo>⋅</mo><mstyle mathcolor="orange"><mi>d</mi></mstyle></mrow></mfrac></mstyle></mrow><annotation encoding="application/x-tex">\Large
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\frac{\textcolor{blue}{a}}{\textcolor{red}{b}}+\frac{\textcolor{green}{c}}{\textcolor{orange}{d}}
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=
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\frac{(\textcolor{blue}{a}\cdot \textcolor{orange}{d})+(\textcolor{green}{c}\cdot \textcolor{red}{b})}{\textcolor{red}{b}\cdot \textcolor{orange}{d}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.5827em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:blue;">a</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin sizing reset-size6 size8">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:2.5827em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:orange;">d</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:green;">c</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:3.0427em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.427em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord mathnormal" style="color:orange;">d</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mopen">(</span><span class="mord mathnormal" style="color:blue;">a</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord mathnormal" style="color:orange;">d</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mopen">(</span><span class="mord mathnormal" style="color:green;">c</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord mathnormal" style="color:red;">b</span><span class="mclose">)</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span></span></span></span></span>
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<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathsize="1.44em"><mi>x</mi><mfrac><mstyle mathcolor="blue"><mi>a</mi></mstyle><mstyle mathcolor="red"><mi>b</mi></mstyle></mfrac><mo>+</mo><mi>y</mi><mfrac><mstyle mathcolor="green"><mi>c</mi></mstyle><mstyle mathcolor="orange"><mi>d</mi></mstyle></mfrac><mo>=</mo><mi>x</mi><mo>+</mo><mi>y</mi><mo>+</mo><mfrac><mstyle mathcolor="blue"><mi>a</mi></mstyle><mstyle mathcolor="red"><mi>b</mi></mstyle></mfrac><mo>+</mo><mfrac><mstyle mathcolor="green"><mi>c</mi></mstyle><mstyle mathcolor="orange"><mi>d</mi></mstyle></mfrac></mstyle></mrow><annotation encoding="application/x-tex">\Large
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x\frac{\textcolor{blue}{a}}{\textcolor{red}{b}}+y\frac{\textcolor{green}{c}}{\textcolor{orange}{d}}
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=
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x+y+\frac{\textcolor{blue}{a}}{\textcolor{red}{b}}+\frac{\textcolor{green}{c}}{\textcolor{orange}{d}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.5827em;vertical-align:-0.9878em;"></span><span class="mord mathnormal sizing reset-size6 size8">x</span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:blue;">a</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin sizing reset-size6 size8">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:2.5827em;vertical-align:-0.9878em;"></span><span class="mord mathnormal sizing reset-size6 size8" style="margin-right:0.03588em;">y</span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:orange;">d</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:green;">c</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.96em;vertical-align:-0.12em;"></span><span class="mord mathnormal sizing reset-size6 size8">x</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin sizing reset-size6 size8">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1.12em;vertical-align:-0.28em;"></span><span class="mord mathnormal sizing reset-size6 size8" style="margin-right:0.03588em;">y</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin sizing reset-size6 size8">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:2.5827em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:blue;">a</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin sizing reset-size6 size8">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:2.5827em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:orange;">d</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:green;">c</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span></span></span></span></span>
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<h2 id="delen">Delen</h2>
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<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathsize="1.44em"><mfrac><mstyle mathcolor="blue"><mi>a</mi></mstyle><mrow><mo stretchy="false">(</mo><mfrac><mstyle mathcolor="red"><mi>b</mi></mstyle><mstyle mathcolor="green"><mi>c</mi></mstyle></mfrac><mo stretchy="false">)</mo></mrow></mfrac><mo>=</mo><mstyle mathcolor="blue"><mi>a</mi></mstyle><mo>⋅</mo><mfrac><mstyle mathcolor="green"><mi>c</mi></mstyle><mstyle mathcolor="red"><mi>b</mi></mstyle></mfrac></mstyle></mrow><annotation encoding="application/x-tex">\Large
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||
\frac{\textcolor{blue}{a}}{(\frac{\textcolor{red}{b}}{\textcolor{green}{c}})}
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=
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\textcolor{blue}{a}\cdot\frac{\textcolor{green}{c}}{\textcolor{red}{b}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:3.1951em;vertical-align:-1.6002em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.6738em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mopen">(</span><span class="mord"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8762em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size8 size6 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="color:green;">c</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size8 size6 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="color:red;">b</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mclose">)</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:blue;">a</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:1.1113em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.64em;"></span><span class="mord mathnormal sizing reset-size6 size8" style="color:blue;">a</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin sizing reset-size6 size8">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:2.5827em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:green;">c</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span></span></span></span></span>
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<span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mstyle mathsize="1.44em"><mfrac><mrow><mo stretchy="false">(</mo><mfrac><mstyle mathcolor="blue"><mi>a</mi></mstyle><mstyle mathcolor="red"><mi>b</mi></mstyle></mfrac><mo stretchy="false">)</mo></mrow><mstyle mathcolor="green"><mi>c</mi></mstyle></mfrac><mo>=</mo><mfrac><mstyle mathcolor="blue"><mi>a</mi></mstyle><mrow><mstyle mathcolor="red"><mi>b</mi></mstyle><mo>⋅</mo><mstyle mathcolor="green"><mi>c</mi></mstyle></mrow></mfrac></mstyle></mrow><annotation encoding="application/x-tex">\Large
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\frac{(\frac{\textcolor{blue}{a}}{\textcolor{red}{b}})}{\textcolor{green}{c}}
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=
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\frac{\textcolor{blue}{a}}{\textcolor{red}{b}\cdot \textcolor{green}{c}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:3.1262em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.485em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:green;">c</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.175em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mopen">(</span><span class="mord"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.693em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size8 size6 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="color:red;">b</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size8 size6 mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="color:blue;">a</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mclose">)</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel sizing reset-size6 size8">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:2.5827em;vertical-align:-0.9878em;"></span><span class="mord sizing reset-size6 size8"><span class="mopen nulldelimiter sizing reset-size8 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.754em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:red;">b</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">⋅</span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mord mathnormal" style="color:green;">c</span></span></span><span style="top:-3.67em;"><span class="pstrut" style="height:3.44em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-4.117em;"><span class="pstrut" style="height:3.44em;"></span><span class="mord"><span class="mord mathnormal" style="color:blue;">a</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter sizing reset-size8 size6"></span></span></span></span></span></span> <!-- your content is injected here -->
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