分数式は因数分解して約分しよう

分数式は因数分解して約分

次の分数式を約分しよう

この問題へのリンクはこちら(右クリックで保存)

【解答】

\def\BunsiA{6ab^4}
\def\BunboA{4a^2b^3}

\def\BunsiB{\colBX{mistyrose}{$2$} \cdot 3 \colBX{palegreen}{$abbb$} b}
\def\BunboB{\colBX{mistyrose}{$2$} \cdot 2a \colBX{palegreen}{$abbb$}}

\def\BunsiK{3b}
\def\BunboK{2a}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize\bf\bm #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
& \colMM{red}{\Rightarrow かけ算に分解(因数分解)}\\
\dfrac{\BunsiA}{\BunboA} &= \dfrac{\BunsiB}{\BunboB}\\
&   \colMM{red}{\Darr 約分}\\
&= \dfrac{\BunsiK}{\BunboK}
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

この問題へのリンクはこちら(右クリックで保存)

【解答】

\def\BunsiA{x^2-x}
\def\BunboA{x^2-1}

\def\BunsiB{x \colBX{mistyrose}{$(x-1)$}}
\def\BunboB{(x+1)\colBX{mistyrose}{$(x-1)$}}

\def\BunsiK{x}
\def\BunboK{x+1}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize\bf\bm #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
& \colMM{red}{\Rightarrow かけ算に分解(因数分解)}\\
\dfrac{\BunsiA}{\BunboA} &= \dfrac{\BunsiB}{\BunboB}\\
&   \colMM{red}{\Darr 約分}\\
&= \dfrac{\BunsiK}{\BunboK}
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

この問題へのリンクはこちら(右クリックで保存)

【解答】

\def\BunsiA{15ab^4}
\def\BunboA{6a^3b^2}

\def\BunsiB{\colBX{mistyrose}{$3$} \cdot 5 \colBX{palegreen}{$abb$}bb}
\def\BunboB{2 \cdot \colBX{mistyrose}{$3$}aa \colBX{palegreen}{$abb$}}

\def\BunsiK{5b^2}
\def\BunboK{2a^2}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize\bf\bm #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
& \colMM{red}{\Rightarrow かけ算に分解(因数分解)}\\
\dfrac{\BunsiA}{\BunboA} &= \dfrac{\BunsiB}{\BunboB}\\
&   \colMM{red}{\Darr 約分}\\
&= \dfrac{\BunsiK}{\BunboK}
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

この問題へのリンクはこちら(右クリックで保存)

【解答】

\def\BunsiA{x^2-9}
\def\BunboA{x^2+7x+12}

\def\BunsiB{\colBX{mistyrose}{$(x+3)$}(x-3)}
\def\BunboB{\colBX{mistyrose}{$(x+3)$}(x+4)}

\def\BunsiK{x-3}
\def\BunboK{x+4}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize\bf\bm #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
& \colMM{red}{\Rightarrow かけ算に分解(因数分解)}\\
\dfrac{\BunsiA}{\BunboA} &= \dfrac{\BunsiB}{\BunboB}\\
&   \colMM{red}{\Darr 約分}\\
&= \dfrac{\BunsiK}{\BunboK}
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

この問題へのリンクはこちら(右クリックで保存)

【解答】

\def\BunsiA{x^2-2x-3}
\def\BunboA{2x^2-7x+3}

\def\BunsiB{(x+1)\colBX{mistyrose}{$(x-3)$}}
\def\BunboB{(2x-1)\colBX{mistyrose}{$(x-3)$}}

\def\BunsiK{x+1}
\def\BunboK{2x-1}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize\bf\bm #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
& \colMM{red}{\Rightarrow かけ算に分解(因数分解)}\\
\dfrac{\BunsiA}{\BunboA} &= \dfrac{\BunsiB}{\BunboB}\\
&   \colMM{red}{\Darr 約分}\\
&= \dfrac{\BunsiK}{\BunboK}
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

この問題へのリンクはこちら(右クリックで保存)

【解答】

\def\BunsiA{6ay^4}
\def\BunboA{3axy^3}

\def\BunsiB{2 \cdot\colBX{mistyrose}{$3a$} \colBX{palegreen}{$yyy$} y}
\def\BunboB{\colBX{mistyrose}{$3a$} x \colBX{palegreen}{$yyy$}}

\def\BunsiK{2y}
\def\BunboK{x}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize\bf\bm #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
& \colMM{red}{\Rightarrow かけ算に分解(因数分解)}\\
\dfrac{\BunsiA}{\BunboA} &= \dfrac{\BunsiB}{\BunboB}\\
&   \colMM{red}{\Darr 約分}\\
&= \dfrac{\BunsiK}{\BunboK}
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

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