What is expand (u^2)/((u^3+1)^3) ?

The solution to expand (u^2)/((u^3+1)^3) is (u^2)/(u^9+3u^6+3u^3+1)

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expand (u^2)/((u^3+1)^3)

expand

\frac{u ^{2}}{( u ^{3} + 1 ) ^{3}}

\frac{u ^{2}}{u ^{9} + 3 u ^{6} + 3 u ^{3} + 1}

Solution steps

\frac{u ^{2}}{( u ^{3} + 1 ) ^{3}}

(u^{3} + 1)^{3} = u^{9} + 3 u^{6} + 3 u^{3} + 1

= \frac{u ^{2}}{u ^{9} + 3 u ^{6} + 3 u ^{3} + 1}

\frac{- x ^{2} + 5 x + 18}{x ( x + 1 ) ( x - 3 ) ( s - 4 )}

\frac{3 s + 3}{( s ^{2} + 2 s + 2 ) ^{2}}

(y - 4)^{(y - 4) 2}

- n (ln (n θ) + 1)

\frac{4}{( t \cdot ( t + 3 ) ^{5} )}

What is expand (u^2)/((u^3+1)^3) ?
The solution to expand (u^2)/((u^3+1)^3) is (u^2)/(u^9+3u^6+3u^3+1)