What is expand ((x^3+6)^2)/(225) ?

The solution to expand ((x^3+6)^2)/(225) is (x^6)/(225)+(4x^3)/(75)+4/25

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expand ((x^3+6)^2)/(225)

expand

\frac{( x ^{3} + 6 ) ^{2}}{225}

\frac{x ^{6}}{225} + \frac{4 x ^{3}}{75} + \frac{4}{25}

Solution steps

\frac{( x ^{3} + 6 ) ^{2}}{225}

(x^{3} + 6)^{2} = x^{6} + 12 x^{3} + 36

= \frac{x ^{6} + 12 x ^{3} + 36}{225}

Apply the fraction rule:

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

\frac{x ^{6} + 12 x ^{3} + 36}{225} = \frac{x ^{6}}{225} + \frac{12 x ^{3}}{225} + \frac{36}{225}

= \frac{x ^{6}}{225} + \frac{12 x ^{3}}{225} + \frac{36}{225}

Cancel

\frac{12 x ^{3}}{225} : \frac{4 x ^{3}}{75}

= \frac{x ^{6}}{225} + \frac{4 x ^{3}}{75} + \frac{36}{225}

Cancel

\frac{36}{225} : \frac{4}{25}

= \frac{x ^{6}}{225} + \frac{4 x ^{3}}{75} + \frac{4}{25}

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What is expand ((x^3+6)^2)/(225) ?
The solution to expand ((x^3+6)^2)/(225) is (x^6)/(225)+(4x^3)/(75)+4/25