展开-(4(72-5p^2))/3

解答

展开

- \frac{4 ( 72 - 5 p ^{2} )}{3}

\frac{20 p ^{2}}{3} - 96

求解步骤

- \frac{4 ( 72 - 5 p ^{2} )}{3}

乘开

4 (72 - 5 p^{2}) : 288 - 20 p^{2}

= - \frac{- 20 p ^{2} + 288}{3}

使用分式法则:

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

\frac{288 - 20 p ^{2}}{3} = - (\frac{288}{3}) - (- \frac{20 p ^{2}}{3})

= - (\frac{288}{3}) - (- \frac{20 p ^{2}}{3})

去除括号:

(a) = a, - (- a) = a

= - \frac{288}{3} + \frac{20 p ^{2}}{3}

数字相除:

\frac{288}{3} = 96

= - 96 + \frac{20 p ^{2}}{3}

改写为标准形式

= \frac{20 p ^{2}}{3} - 96

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

s im pl i f y (x + 1) (x + \frac{1}{2}) (x + \frac{1}{4})

e x p an d (x - \frac{1}{x})^{4} (x + \frac{1}{x})^{2}

e x p an d \frac{c ( x - 5 )}{x ^{2} + a x + b}

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