展开 (2(x-1))/(x^3)

解答

展开

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

\frac{2}{x ^{2}} - \frac{2}{x ^{3}}

求解步骤

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

乘开

2 (x - 1) : 2 x - 2

= \frac{2 x - 2}{x ^{3}}

使用分式法则:

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

\frac{2 x - 2}{x ^{3}} = \frac{2 x}{x ^{3}} - \frac{2}{x ^{3}}

= \frac{2 x}{x ^{3}} - \frac{2}{x ^{3}}

消掉

\frac{2 x}{x ^{3}} : \frac{2}{x ^{2}}

= \frac{2}{x ^{2}} - \frac{2}{x ^{3}}

e x p an d (x^{3} - 2 x^{2} + \frac{π}{4}) (x^{2} - e) + x^{3} - 5 x + 7

e x p an d 5!

e x p an d \frac{( x + 1 ) ^{3}}{x ^{5}}

e x p an d 4 (2 x - 8 = 6 (10 - 2 x))

e x p an d y d x + (2 x - 3 y) d y