展开 (x(-x-2)^2)/2

解答

展开

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

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

求解步骤

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

(- x - 2)^{2} = x^{2} + 4 x + 4

= \frac{x ( x ^{2} + 4 x + 4 )}{2}

乘开

x (x^{2} + 4 x + 4) : x^{3} + 4 x^{2} + 4 x

= \frac{x ^{3} + 4 x ^{2} + 4 x}{2}

使用分式法则:

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

\frac{x ^{3} + 4 x ^{2} + 4 x}{2} = \frac{x ^{3}}{2} + \frac{4 x ^{2}}{2} + \frac{4 x}{2}

= \frac{x ^{3}}{2} + \frac{4 x ^{2}}{2} + \frac{4 x}{2}

数字相除:

\frac{4}{2} = 2

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

e x p an d (x^{2} + 5) e^{9 x + 4}

e x p an d ln (7) (x + 3) + ln (7) (x - 2 = ln (7) (2 x + 14))

e x p an d \frac{4 ( x - 3 )}{5}

s im pl i f y 30 (5 - 15)

e x p an d \frac{7 x \cdot ln ( x ) - 7 x + 7}{ln ( x ) ( x - 1 )}