展开 x/(5(x-1)^3)

解答

展开

\frac{x}{5 ( x - 1 ) ^{3}}

\frac{x}{5 x ^{3} - 15 x ^{2} + 15 x - 5}

求解步骤

\frac{x}{5 ( x - 1 ) ^{3}}

(x - 1)^{3} = x^{3} - 3 x^{2} + 3 x - 1

= \frac{x}{5 ( x ^{3} - 3 x ^{2} + 3 x - 1 )}

乘开

5 (x^{3} - 3 x^{2} + 3 x - 1) : 5 x^{3} - 15 x^{2} + 15 x - 5

= \frac{x}{5 x ^{3} - 15 x ^{2} + 15 x - 5}

e x p an d \frac{4 x - 1}{s ^{2} ( s + 1 ) ^{3}}

s im pl i f y (x + 9) (x - \frac{4}{3})

s im pl i f y 2 (\frac{y - 3}{3} + 1)

e x p an d \frac{( 1 - e ^{- 6 s} + 4 s ^{2} )}{2 s ^{2} ( s ^{2} + s )}

e x p an d \frac{( 4 x + 8 ) a}{5 ( 10 + 3 a - a ^{2} )}