展开 (2(2x^3-6750))/(x^2)

解答

展开

\frac{2 ( 2 x ^{3} - 6750 )}{x ^{2}}

4 x - \frac{13500}{x ^{2}}

求解步骤

\frac{2 ( 2 x ^{3} - 6750 )}{x ^{2}}

乘开

2 (2 x^{3} - 6750) : 4 x^{3} - 13500

= \frac{4 x ^{3} - 13500}{x ^{2}}

使用分式法则:

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

\frac{4 x ^{3} - 13500}{x ^{2}} = \frac{4 x ^{3}}{x ^{2}} - \frac{13500}{x ^{2}}

= \frac{4 x ^{3}}{x ^{2}} - \frac{13500}{x ^{2}}

消掉

\frac{4 x ^{3}}{x ^{2}} : 4 x

= 4 x - \frac{13500}{x ^{2}}

e x p an d 2 π r h (r - h)

e x p an d 5 (3 x - 2 = - \frac{7}{- 5})

e x p an d 4 \cdot ((3 x - 2) \cdot (2 x + 6))

e x p an d x + (y - x) e^{- k t}

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