展开 ((x-1)(x+1))/x

解答

展开

\frac{( x - 1 ) ( x + 1 )}{x}

x - \frac{1}{x}

求解步骤

\frac{( x - 1 ) ( x + 1 )}{x}

乘开

(x - 1) (x + 1) : x^{2} - 1

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

使用分式法则:

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

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

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

消掉

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

= x - \frac{1}{x}

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