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

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

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

expand

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

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

Solution steps

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

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

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

(2 x - 3) (2 x + 3)

x (x^{3} - x y^{2} + 2 y^{3}) d y - y (x^{3} + 2 y^{3}) d x

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

2 (cos (x) - sin (x))

\frac{s}{( t ^{2} + s ^{2} ) ( t ^{2} + 1 )}

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