What is expand ((x^2-1)(x+2))/x ?

The solution to expand ((x^2-1)(x+2))/x is x^2+2x-1-2/x

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expand ((x^2-1)(x+2))/x

expand

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

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

Solution steps

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

Expand

(x^{2} - 1) (x + 2) : x^{3} + 2 x^{2} - x - 2

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

Apply the fraction rule:

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

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

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

Apply rule

\frac{a}{a} = 1

\frac{x}{x} = 1

= \frac{x ^{3}}{x} + \frac{2 x ^{2}}{x} - 1 - \frac{2}{x}

Cancel

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

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

Cancel

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

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

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What is expand ((x^2-1)(x+2))/x ?
The solution to expand ((x^2-1)(x+2))/x is x^2+2x-1-2/x