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

The solution to expand (2x)/((x^2+1)^3) is (2x)/(x^6+3x^4+3x^2+1)

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

expand

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

\frac{2 x}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1}

Solution steps

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

(x^{2} + 1)^{3} = x^{6} + 3 x^{4} + 3 x^{2} + 1

= \frac{2 x}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1}

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

(e^{x} + 1)^{15}

\frac{3 ( 8 - x ^{2} ) ^{2}}{2}

\frac{a ^{2} + ab}{( a - b ) ^{2}}

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

What is expand (2x)/((x^2+1)^3) ?
The solution to expand (2x)/((x^2+1)^3) is (2x)/(x^6+3x^4+3x^2+1)