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Popular >

expand ((2x+5)^2)/x

Solution

expand

\frac{( 2 x + 5 ) ^{2}}{x}

Solution

4 x + 20 + \frac{25}{x}

Solution steps

\frac{( 2 x + 5 ) ^{2}}{x}

(2 x + 5)^{2} = 4 x^{2} + 20 x + 25

= \frac{4 x ^{2} + 20 x + 25}{x}

Apply the fraction rule:

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

\frac{4 x ^{2} + 20 x + 25}{x} = \frac{4 x ^{2}}{x} + \frac{20 x}{x} + \frac{25}{x}

= \frac{4 x ^{2}}{x} + \frac{20 x}{x} + \frac{25}{x}

Cancel

\frac{4 x ^{2}}{x} : 4 x

= 4 x + \frac{20 x}{x} + \frac{25}{x}

Cancel

\frac{20 x}{x} : 20

= 4 x + 20 + \frac{25}{x}

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Frequently Asked Questions (FAQ)

What is expand ((2x+5)^2)/x ?
The solution to expand ((2x+5)^2)/x is 4x+20+(25)/x