What is expand ((x+1)(x-1))/x ?

The solution to expand ((x+1)(x-1))/x is x-1/x

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expand ((x+1)(x-1))/x

expand

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

x - \frac{1}{x}

Solution steps

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

Expand

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

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

Apply the fraction rule:

\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}

Cancel

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

= x - \frac{1}{x}

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