化简 ((3/((x+h)^2)-3/(x^2)))/h

解答

化简

\frac{( \frac{3}{( x + h ) ^{2}} - \frac{3}{x ^{2}} )}{h}

- \frac{3 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

求解步骤

\frac{\frac{3}{( x + h ) ^{2}} - \frac{3}{x ^{2}}}{h}

合并

\frac{3}{( x + h ) ^{2}} - \frac{3}{x ^{2}} : \frac{- 6 x h - 3 h ^{2}}{x ^{2} ( x + h ) ^{2}}

= \frac{\frac{- 6 x h - 3 h ^{2}}{x ^{2} ( x + h ) ^{2}}}{h}

使用分式法则:

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

= \frac{- 6 x h - 3 h ^{2}}{x ^{2} ( x + h ) ^{2} h}

消掉

\frac{- 6 x h - 3 h ^{2}}{x ^{2} ( x + h ) ^{2} h} : - \frac{3 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

= - \frac{3 ( 2 x + h )}{x ^{2} ( x + h ) ^{2}}

s im pl i f y \frac{- 6 j ^{- 9}}{( - 2 j ^{4} ) ^{3}}

f a c t or 3 x^{3} - x^{2} p or - 2 x

f a c t or x^{3} - 3 x^{2} - 33 x + 35

- 2 x^{2} + 2 = 0

(11 a - 4) (2 a - 4) = 0