展开 (x(x+9))/(6z)

解答

展开

\frac{x ( x + 9 )}{6 z}

\frac{x ^{2}}{6 z} + \frac{3 x}{2 z}

求解步骤

\frac{x ( x + 9 )}{6 z}

乘开

x (x + 9) : x^{2} + 9 x

= \frac{x ^{2} + 9 x}{6 z}

使用分式法则:

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

\frac{x ^{2} + 9 x}{6 z} = \frac{x ^{2}}{6 z} + \frac{9 x}{6 z}

= \frac{x ^{2}}{6 z} + \frac{9 x}{6 z}

消掉

\frac{9 x}{6 z} : \frac{3 x}{2 z}

= \frac{x ^{2}}{6 z} + \frac{3 x}{2 z}

e x p an d (5 + 8) + (- 8)

e x p an d - e^{x} (- e^{- x} x - e^{- x})

e x p an d \frac{n ( n + 1 )}{4}

e x p an d \frac{x - 9 ( 3 + x )}{9 - x}

e x p an d L (3 t + 1) U (t - 1)