展开 ((1-2x)^2)/x

解答

展开

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

\frac{1}{x} - 4 + 4 x

求解步骤

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

(1 - 2 x)^{2} = 1 - 4 x + 4 x^{2}

= \frac{1 - 4 x + 4 x ^{2}}{x}

使用分式法则:

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

\frac{1 - 4 x + 4 x ^{2}}{x} = \frac{1}{x} - \frac{4 x}{x} + \frac{4 x ^{2}}{x}

= \frac{1}{x} - \frac{4 x}{x} + \frac{4 x ^{2}}{x}

消掉

\frac{4 x}{x} : 4

= \frac{1}{x} - 4 + \frac{4 x ^{2}}{x}

消掉

\frac{4 x ^{2}}{x} : 4 x

= \frac{1}{x} - 4 + 4 x

e x p an d z (x) + y (z (x), x) (x + z^{'} (x))

s im pl i f y (x + 2) (x + 32)

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

s im pl i f y (2 + x - 3)^{2}

e x p an d (1 - h - 3)^{2}