展开 (10x^{1/3}(x^{1/3}-2))/3

解答

展开

\frac{10 x ^{\frac{1}{3}} ( x ^{\frac{1}{3}} - 2 )}{3}

\frac{10 x ^{\frac{2}{3}}}{3} - \frac{20 x ^{\frac{1}{3}}}{3}

求解步骤

\frac{10 x ^{\frac{1}{3}} ( x ^{\frac{1}{3}} - 2 )}{3}

乘开

10 x^{\frac{1}{3}} (x^{\frac{1}{3}} - 2) : 10 x^{\frac{2}{3}} - 20 x^{\frac{1}{3}}

= \frac{10 x ^{\frac{2}{3}} - 20 x ^{\frac{1}{3}}}{3}

使用分式法则:

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

\frac{10 x ^{\frac{2}{3}} - 20 x ^{\frac{1}{3}}}{3} = \frac{10 x ^{\frac{2}{3}}}{3} - \frac{20 x ^{\frac{1}{3}}}{3}

= \frac{10 x ^{\frac{2}{3}}}{3} - \frac{20 x ^{\frac{1}{3}}}{3}

e x p an d \frac{2 x + 7}{( x + 2 ) ( x + 3 )}

e x p an d \frac{b l ( h - 5 )}{2}

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

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

e x p an d (- 10, 0, 0) (- 6, - 9, - in f ini t y)