簡約 2/(5x-6)-4/(10x-2)

解

簡約

\frac{2}{5 x - 6} - \frac{4}{10 x - 2}

\frac{10}{( 5 x - 6 ) ( 5 x - 1 )}

解答ステップ

\frac{2}{5 x - 6} - \frac{4}{10 x - 2}

キャンセル

\frac{4}{10 x - 2} : \frac{2}{5 x - 1}

= \frac{2}{5 x - 6} - \frac{2}{5 x - 1}

簡素化

\frac{2}{5 x - 6} - \frac{2}{5 x - 1} : \frac{2 ( 5 x - 1 ) - 2 ( 5 x - 6 )}{( 5 x - 6 ) ( 5 x - 1 )}

= \frac{2 ( 5 x - 1 ) - 2 ( 5 x - 6 )}{( 5 x - 6 ) ( 5 x - 1 )}

簡素化

2 (5 x - 1) - 2 (5 x - 6) : 10

= \frac{10}{( 5 x - 6 ) ( 5 x - 1 )}