展开 (5(-25n+25))/(2n)

解答

展开

\frac{5 ( - 25 n + 25 )}{2 n}

- \frac{125}{2} + \frac{125}{2 n}

求解步骤

\frac{5 ( - 25 n + 25 )}{2 n}

乘开

5 (- 25 n + 25) : - 125 n + 125

= \frac{- 125 n + 125}{2 n}

使用分式法则:

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

\frac{- 125 n + 125}{2 n} = - \frac{125 n}{2 n} + \frac{125}{2 n}

= - \frac{125 n}{2 n} + \frac{125}{2 n}

消掉

\frac{125 n}{2 n} : \frac{125}{2}

= - \frac{125}{2} + \frac{125}{2 n}

s im pl i f y (x - 1) (x^{2} + 4)

e x p an d (4 + e^{- t} (- 4 cos (t) - 4 sin (t))) \cdot e^{t}

s im pl i f y (3 x - 5) (3 x + 4)

e x p an d (sin (\frac{π x}{L}) sin (\frac{2 π y}{L}) - sin (\frac{2 π x}{L}) sin (\frac{π y}{L}))^{2}

e x p an d \frac{1 - 3 e ^{- s} + s ^{2} + 9 s}{s ( s + 4 ) ^{2}}