次の分数式を約分しよう
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【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