What is expand ((6+x)^2)/(36) ?

The solution to expand ((6+x)^2)/(36) is (x^2)/(36)+x/3+1

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expand ((6+x)^2)/(36)

expand

\frac{( 6 + x ) ^{2}}{36}

\frac{x ^{2}}{36} + \frac{x}{3} + 1

Solution steps

\frac{( 6 + x ) ^{2}}{36}

(6 + x)^{2} = 36 + 12 x + x^{2}

= \frac{36 + 12 x + x ^{2}}{36}

Apply the fraction rule:

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

\frac{36 + 12 x + x ^{2}}{36} = \frac{36}{36} + \frac{12 x}{36} + \frac{x ^{2}}{36}

= \frac{36}{36} + \frac{12 x}{36} + \frac{x ^{2}}{36}

Apply rule

\frac{a}{a} = 1

\frac{36}{36} = 1

= 1 + \frac{12 x}{36} + \frac{x ^{2}}{36}

Cancel

\frac{12 x}{36} : \frac{x}{3}

= 1 + \frac{x}{3} + \frac{x ^{2}}{36}

Rewrite in standard form

= \frac{x ^{2}}{36} + \frac{x}{3} + 1

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What is expand ((6+x)^2)/(36) ?
The solution to expand ((6+x)^2)/(36) is (x^2)/(36)+x/3+1