What is expand ((x^4+3)^2)/(12) ?

The solution to expand ((x^4+3)^2)/(12) is (x^8}{12}+\frac{x^4)/2+3/4

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expand ((x^4+3)^2)/(12)

expand

\frac{( x ^{4} + 3 ) ^{2}}{12}

\frac{x ^{8}}{12} + \frac{x ^{4}}{2} + \frac{3}{4}

Solution steps

\frac{( x ^{4} + 3 ) ^{2}}{12}

(x^{4} + 3)^{2} = x^{8} + 6 x^{4} + 9

= \frac{x ^{8} + 6 x ^{4} + 9}{12}

Apply the fraction rule:

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

\frac{x ^{8} + 6 x ^{4} + 9}{12} = \frac{x ^{8}}{12} + \frac{6 x ^{4}}{12} + \frac{9}{12}

= \frac{x ^{8}}{12} + \frac{6 x ^{4}}{12} + \frac{9}{12}

Cancel

\frac{6 x ^{4}}{12} : \frac{x ^{4}}{2}

= \frac{x ^{8}}{12} + \frac{x ^{4}}{2} + \frac{9}{12}

Cancel

\frac{9}{12} : \frac{3}{4}

= \frac{x ^{8}}{12} + \frac{x ^{4}}{2} + \frac{3}{4}

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What is expand ((x^4+3)^2)/(12) ?
The solution to expand ((x^4+3)^2)/(12) is (x^8}{12}+\frac{x^4)/2+3/4