簡約 ((14)/((x+h)^2)-(14)/(x^2))/h

解

簡約

\frac{\frac{14}{( x + h ) ^{2}} - \frac{14}{x ^{2}}}{h}

- \frac{14 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

解答ステップ

\frac{\frac{14}{( x + h ) ^{2}} - \frac{14}{x ^{2}}}{h}

結合

\frac{14}{( x + h ) ^{2}} - \frac{14}{x ^{2}} : \frac{- 28 x h - 14 h ^{2}}{x ^{2} ( x + h ) ^{2}}

= \frac{\frac{- 28 x h - 14 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{- 28 x h - 14 h ^{2}}{x ^{2} ( x + h ) ^{2} h}

キャンセル

\frac{- 28 x h - 14 h ^{2}}{x ^{2} ( x + h ) ^{2} h} : - \frac{14 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

= - \frac{14 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}