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

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

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

expand

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

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

Solution steps

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

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

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

(- 3 x^{3} - 8 x^{6}) (10 e^{x} + 2)

(- 10 + ln (\frac{m}{p})) 0.66

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\frac{2 ( 3 - 2 3 )}{3}

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