What is expand ((x-2)^3)/x ?

The solution to expand ((x-2)^3)/x is x^2-6x+12-8/x

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expand ((x-2)^3)/x

expand

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

x^{2} - 6 x + 12 - \frac{8}{x}

Solution steps

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

(x - 2)^{3} = x^{3} - 6 x^{2} + 12 x - 8

= \frac{x ^{3} - 6 x ^{2} + 12 x - 8}{x}

Apply the fraction rule:

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

\frac{x ^{3} - 6 x ^{2} + 12 x - 8}{x} = \frac{x ^{3}}{x} - \frac{6 x ^{2}}{x} + \frac{12 x}{x} - \frac{8}{x}

= \frac{x ^{3}}{x} - \frac{6 x ^{2}}{x} + \frac{12 x}{x} - \frac{8}{x}

Cancel

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

= x^{2} - \frac{6 x ^{2}}{x} + \frac{12 x}{x} - \frac{8}{x}

Cancel

\frac{6 x ^{2}}{x} : 6 x

= x^{2} - 6 x + \frac{12 x}{x} - \frac{8}{x}

Cancel

\frac{12 x}{x} : 12

= x^{2} - 6 x + 12 - \frac{8}{x}

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What is expand ((x-2)^3)/x ?
The solution to expand ((x-2)^3)/x is x^2-6x+12-8/x