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

e x p an d \frac{k ( s + 2 ) ( s + 1 )}{( s - 2 ) ( s - 1 )}

e x p an d (cos (x) - 1) (2 sin (x) + 1)

s im pl i f y (\frac{7}{x - 12} + 6 (100 - x)) (x - 12)

e x p an d \frac{5}{7} \cdot (1 + ln (\frac{7}{5}))

e x p an d sin (x) (1 - cos (x)) (1 + sec (x))