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

解答

化简

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

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

求解步骤

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

因式分解出通项

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

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

使用根式运算法则:

a = a a

x + h = x + h x + h

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

约分:

x + h

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

e x p an d 2 x l e f t (x^{2} - 3 x) + 6 x^{2}

e x p an d (2 x^{6} + \frac{x ^{2}}{6})^{10}

e x p an d \frac{1}{2 3 x ^{2} + y} (6 x)

e x p an d e^{2 x} \cdot (e^{- 2 x} x + \frac{1}{2} e^{- 2 x} + c)

e x p an d x^{2} 1 + (2 x)^{2}