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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{12 x}{x} : 12

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

Cancel

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

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

Cancel

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

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

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Frequently Asked Questions (FAQ)

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