What is expand ((20+x^2)^2)/9 ?

The solution to expand ((20+x^2)^2)/9 is (x^4)/9+(40x^2)/9+400/9

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expand ((20+x^2)^2)/9

expand

\frac{( 20 + x ^{2} ) ^{2}}{9}

\frac{x ^{4}}{9} + \frac{40 x ^{2}}{9} + \frac{400}{9}

Solution steps

\frac{( 20 + x ^{2} ) ^{2}}{9}

(20 + x^{2})^{2} = 400 + 40 x^{2} + x^{4}

= \frac{400 + 40 x ^{2} + x ^{4}}{9}

Apply the fraction rule:

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

\frac{400 + 40 x ^{2} + x ^{4}}{9} = \frac{400}{9} + \frac{40 x ^{2}}{9} + \frac{x ^{4}}{9}

= \frac{400}{9} + \frac{40 x ^{2}}{9} + \frac{x ^{4}}{9}

Rewrite in standard form

= \frac{x ^{4}}{9} + \frac{40 x ^{2}}{9} + \frac{400}{9}

(3 x^{2} + y) d x + (x^{2} y - x) d y

(\frac{y - 1}{2})^{4}

\frac{4 ( 3 ^{n} - 1 )}{3}

(3 x^{2} + 5) ln (2)

\frac{p}{( ( p ^{2} + 4 ) ( p ^{2} + 9 ) )}

What is expand ((20+x^2)^2)/9 ?
The solution to expand ((20+x^2)^2)/9 is (x^4)/9+(40x^2)/9+400/9