展开 (3(x-8))/(x^2)

解答

展开

\frac{3 ( x - 8 )}{x ^{2}}

\frac{3}{x} - \frac{24}{x ^{2}}

求解步骤

\frac{3 ( x - 8 )}{x ^{2}}

乘开

3 (x - 8) : 3 x - 24

= \frac{3 x - 24}{x ^{2}}

使用分式法则:

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

\frac{3 x - 24}{x ^{2}} = \frac{3 x}{x ^{2}} - \frac{24}{x ^{2}}

= \frac{3 x}{x ^{2}} - \frac{24}{x ^{2}}

消掉

\frac{3 x}{x ^{2}} : \frac{3}{x}

= \frac{3}{x} - \frac{24}{x ^{2}}

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