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

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

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

expand

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

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

Solution steps

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

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

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

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

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