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

The solution to expand (x^3)/((x^2+1)^2) is (x^3)/(x^4+2x^2+1)

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

expand

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

\frac{x ^{3}}{x ^{4} + 2 x ^{2} + 1}

Solution steps

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

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

= \frac{x ^{3}}{x ^{4} + 2 x ^{2} + 1}

2 (2 e^{- 2 x} + \frac{1}{3} e^{x})

\frac{2 x}{( x - 1 ) ( x + 1 )}

\frac{\partial}{\partial u} ((x) (a u + b v))

(1 - e^{- \frac{x}{8}})^{3}

\frac{1}{( s - 1 ) ( s + 2 ) ( s + 4 )}

What is expand (x^3)/((x^2+1)^2) ?
The solution to expand (x^3)/((x^2+1)^2) is (x^3)/(x^4+2x^2+1)