化简 x^4(1-2/(x-1))

解答

化简

x^{4} (1 - \frac{2}{x - 1})

\frac{x ^{4} ( x - 3 )}{x - 1}

求解步骤

x^{4} (1 - \frac{2}{x - 1})

合并

1 - \frac{2}{x - 1} : \frac{x - 3}{x - 1}

= x^{4} \frac{x - 3}{x - 1}

使用分式法则:

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

= \frac{x ^{4} ( x - 3 )}{x - 1}

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

e x p an d \frac{4}{( 4 - x ) ^{3}}

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

e x p an d \frac{10 ( 1229 - 2 )}{49}

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