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< a href = "/breuken" > Breuken</ a >
< a href = "/wortels" > Wortels</ a >
< a href = "/machten" > Machten</ a >
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< h1 id = "wiskunde" > Wiskunde</ h1 >
< p > Links vind je uitleg van basisconcepten die je nodig hebt binnen de wiskunde. Gebruik dit tijdens het leren om je basisvaardigheden na te lopen.</ p >
< p > Hieronder vind je nog een aantal korte opmeringen die niet onder de onderwerpen in het linker-menu vallen.</ p >
< h2 id = "haakjes" > Haakjes</ h2 >
< p > Haakjes gaan altijd voor met uitwerken, maar soms moet je de inhoud loswerken:</ p >
< 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" >< mstyle mathcolor = "blue" >< mi > a</ mi ></ mstyle >< mo stretchy = "false" > (</ mo >< mstyle mathcolor = "red" >< mi > b</ mi ></ mstyle >< mo > +</ mo >< mstyle mathcolor = "green" >< mi > c</ mi ></ mstyle >< mo stretchy = "false" > )</ mo >< mo > =</ mo >< mstyle mathcolor = "blue" >< mi > a</ mi ></ mstyle >< mo > ⋅</ mo >< mstyle mathcolor = "red" >< mi > b</ mi ></ mstyle >< mo > +</ mo >< mstyle mathcolor = "blue" >< mi > a</ mi ></ mstyle >< mo > ⋅</ mo >< mstyle mathcolor = "green" >< mi > c</ mi ></ mstyle ></ mstyle ></ mrow >< annotation encoding = "application/x-tex" > \Large
\textcolor{blue}{a}(\textcolor{red}{b}+\textcolor{green}{c})
= \textcolor{blue}{a}\cdot\textcolor{red}{b}+\textcolor{blue}{a}\cdot\textcolor{green}{c}</ annotation ></ semantics ></ math ></ span >< span class = "katex-html" aria-hidden = "true" >< span class = "base" >< span class = "strut" style = "height:1.44em;vertical-align:-0.36em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:blue;" > a</ span >< span class = "mopen sizing reset-size6 size8" > (</ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:red;" > b</ 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:1.44em;vertical-align:-0.36em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:green;" > c</ span >< span class = "mclose sizing reset-size6 size8" > )</ 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:1.12em;vertical-align:-0.12em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:red;" > b</ 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: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:0.62em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:green;" > c</ span ></ span ></ span ></ span ></ span >
< 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" >< 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 stretchy = "false" > (</ mo >< mstyle mathcolor = "red" >< mi > b</ mi ></ mstyle >< mo > +</ mo >< mstyle mathcolor = "green" >< mi > c</ mi ></ mstyle >< mo stretchy = "false" > )</ mo >< mo > =</ mo >< mstyle mathcolor = "blue" >< mi > a</ mi ></ mstyle >< mo > ⋅</ mo >< mstyle mathcolor = "red" >< mi > b</ mi ></ mstyle >< mo > +</ mo >< mstyle mathcolor = "blue" >< mi > a</ mi ></ mstyle >< mo > ⋅</ mo >< mstyle mathcolor = "green" >< mi > c</ mi ></ mstyle >< mo > +</ mo >< mstyle mathcolor = "orange" >< mi > d</ mi ></ mstyle >< mo > ⋅</ mo >< mstyle mathcolor = "red" >< mi > b</ mi ></ mstyle >< mo > +</ mo >< mstyle mathcolor = "orange" >< mi > d</ mi ></ mstyle >< mo > ⋅</ mo >< mstyle mathcolor = "green" >< mi > c</ mi ></ mstyle ></ mstyle ></ mrow >< annotation encoding = "application/x-tex" > \Large
(\textcolor{blue}{a}+\textcolor{orange}{d})(\textcolor{red}{b}+\textcolor{green}{c})
=
\textcolor{blue}{a}\cdot\textcolor{red}{b}+\textcolor{blue}{a}\cdot\textcolor{green}{c}+\textcolor{orange}{d}\cdot\textcolor{red}{b}+\textcolor{orange}{d}\cdot\textcolor{green}{c}</ annotation ></ semantics ></ math ></ span >< span class = "katex-html" aria-hidden = "true" >< span class = "base" >< span class = "strut" style = "height:1.44em;vertical-align:-0.36em;" ></ span >< span class = "mopen sizing reset-size6 size8" > (</ 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:1.44em;vertical-align:-0.36em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:orange;" > d</ span >< span class = "mclose sizing reset-size6 size8" > )</ span >< span class = "mopen sizing reset-size6 size8" > (</ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:red;" > b</ 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:1.44em;vertical-align:-0.36em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:green;" > c</ span >< span class = "mclose sizing reset-size6 size8" > )</ 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:1.12em;vertical-align:-0.12em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:red;" > b</ 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: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:0.96em;vertical-align:-0.12em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:green;" > c</ 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:1em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:orange;" > d</ 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:-0.12em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:red;" > b</ 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:1em;" ></ span >< span class = "mord mathnormal sizing reset-size6 size8" style = "color:orange;" > d</ 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:0.62em;" ></ span >< span class = "mord mathnormal siz
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