展开 (x^2(-2+x))/6

解答

展开

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

\frac{x ^{3}}{6} - \frac{x ^{2}}{3}

求解步骤

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

乘开

x^{2} (- 2 + x) : - 2 x^{2} + x^{3}

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

使用分式法则:

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

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

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

消掉

\frac{2 x ^{2}}{6} : \frac{x ^{2}}{3}

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

改写为标准形式

= \frac{x ^{3}}{6} - \frac{x ^{2}}{3}

e x p an d \frac{1}{3} (13.9 ln (13.9) - 13.9)

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

e x p an d \frac{2 y ( 2 x ^{3} - 3 y x ^{2} )}{( x - y ) ^{2}}

e x p an d \frac{13}{( 2 x + 1 ) ^{2}}

e x p an d \frac{x}{( x - a ) ^{2} ( x - b ) ^{2}}