簡約 (-8sqrt(x+h)x+8sqrt(x)(x+h))/(x(x+h)h)

解

簡約

\frac{- 8 x + h x + 8 x ( x + h )}{x ( x + h ) h}

\frac{8 ( - x + x x + h )}{x x + h h}

解答ステップ

\frac{- 8 x + h x + 8 x ( x + h )}{x ( x + h ) h}

共通項をくくり出す

8 x + h : 8 x + h (- x + x x + h)

= \frac{8 x + h ( - x + x x + h )}{x ( x + h ) h}

累乗根の規則を適用する:

a = a a

x + h = x + h x + h

= \frac{8 x + h ( - x + x x + h )}{x x + h x + h h}

共通因数を約分する:

x + h

= \frac{8 ( - x + x x + h )}{x x + h h}