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Popular >

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

Solution

expand

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

Solution

\frac{x ^{2}}{a} + 2 x + a - 1

Solution steps

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

Expand

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

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

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

Apply rule

\frac{a}{a} = 1

\frac{a}{a} = 1

= \frac{x ^{2}}{a} + \frac{2 a x}{a} + \frac{a ^{2}}{a} - 1

Cancel

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

= \frac{x ^{2}}{a} + 2 x + \frac{a ^{2}}{a} - 1

Cancel

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

= \frac{x ^{2}}{a} + 2 x + a - 1

Popular Examples

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((k(k+1)(2k+1)))/6

\frac{( k ( k + 1 ) ( 2 k + 1 ) )}{6}

expand 1/((x^2-b^2)^2)expand

\frac{1}{( x ^{2} - b ^{2} ) ^{2}}

Frequently Asked Questions (FAQ)

What is expand ((x+a)^2-a)/a ?
The solution to expand ((x+a)^2-a)/a is (x^2)/a+2x+a-1