展开 ((a-3)(-2-a))/4

解答

展开

\frac{( a - 3 ) ( - 2 - a )}{4}

- \frac{a ^{2}}{4} + \frac{a}{4} + \frac{3}{2}

求解步骤

\frac{( a - 3 ) ( - 2 - a )}{4}

乘开

(a - 3) (- 2 - a) : a - a^{2} + 6

= \frac{a - a ^{2} + 6}{4}

使用分式法则:

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

\frac{a - a ^{2} + 6}{4} = \frac{a}{4} - \frac{a ^{2}}{4} + \frac{6}{4}

= \frac{a}{4} - \frac{a ^{2}}{4} + \frac{6}{4}

消掉

\frac{6}{4} : \frac{3}{2}

= \frac{a}{4} - \frac{a ^{2}}{4} + \frac{3}{2}

改写为标准形式

= - \frac{a ^{2}}{4} + \frac{a}{4} + \frac{3}{2}

e x p an d (3 - 1) + (3 - 1) i

s im pl i f y (- 2) - (1 - i) (\frac{1 + i}{2 - 2})

e x p an d \frac{15 ( x - 2 ) ^{2}}{2}

s im pl i f y δ (x - 5)

e x p an d (1 + Δ x)^{2}