展开 (x(3000-3x))/2

解答

展开

\frac{x ( 3000 - 3 x )}{2}

- \frac{3 x ^{2}}{2} + 1500 x

求解步骤

\frac{x ( 3000 - 3 x )}{2}

乘开

x (3000 - 3 x) : 3000 x - 3 x^{2}

= \frac{3000 x - 3 x ^{2}}{2}

使用分式法则:

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

\frac{3000 x - 3 x ^{2}}{2} = \frac{3000 x}{2} - \frac{3 x ^{2}}{2}

= \frac{3000 x}{2} - \frac{3 x ^{2}}{2}

数字相除:

\frac{3000}{2} = 1500

= 1500 x - \frac{3 x ^{2}}{2}

改写为标准形式

= - \frac{3 x ^{2}}{2} + 1500 x

e x p an d \frac{1}{( S ( S + 1 ) ( 0.2 S + 1 ) )}

e x p an d (9 y^{8} + 2 x^{7} y) d x - (8 x y^{7} + x^{8}) d y

e x p an d sin^{(π \cdot (1 - t))} (x)

e x p an d - 2 ((2 + i) x + (2 - i) y = 2 i)

\frac{d}{d y} ((z) (x^{2} + y^{2} - 2 z^{2} + 12 x - 8 z - 4))