簡約 (2/((x+h)^2)-2/(x^2))/h

解

簡約

\frac{\frac{2}{( x + h ) ^{2}} - \frac{2}{x ^{2}}}{h}

- \frac{2 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

解答ステップ

\frac{\frac{2}{( x + h ) ^{2}} - \frac{2}{x ^{2}}}{h}

結合

\frac{2}{( x + h ) ^{2}} - \frac{2}{x ^{2}} : \frac{- 4 x h - 2 h ^{2}}{x ^{2} ( x + h ) ^{2}}

= \frac{\frac{- 4 x h - 2 h ^{2}}{x ^{2} ( x + h ) ^{2}}}{h}

分数の規則を適用する:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{- 4 x h - 2 h ^{2}}{x ^{2} ( x + h ) ^{2} h}

キャンセル

\frac{- 4 x h - 2 h ^{2}}{x ^{2} ( x + h ) ^{2} h} : - \frac{2 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

= - \frac{2 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}