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Popular >

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

Solution

expand

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

Solution

\frac{4}{x} + 4 + x

Solution steps

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

(2 + x)^{2} = 4 + 4 x + x^{2}

= \frac{4 + 4 x + x ^{2}}{x}

Apply the fraction rule:

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

\frac{4 + 4 x + x ^{2}}{x} = \frac{4}{x} + \frac{4 x}{x} + \frac{x ^{2}}{x}

= \frac{4}{x} + \frac{4 x}{x} + \frac{x ^{2}}{x}

Cancel

\frac{4 x}{x} : 4

= \frac{4}{x} + 4 + \frac{x ^{2}}{x}

Cancel

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

= \frac{4}{x} + 4 + x

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Frequently Asked Questions (FAQ)

What is expand ((2+x)^2)/x ?
The solution to expand ((2+x)^2)/x is 4/x+4+x