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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Expand

(x + a)^{2} - x : x^{2} + 2 x a + a^{2} - x

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

Apply the fraction rule:

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

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

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

Cancel

\frac{2 x a}{a} : 2 x

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

Cancel

\frac{a ^{2}}{a} : a

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

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Frequently Asked Questions (FAQ)

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