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

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

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

expand

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

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

Solution steps

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

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

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

(a + 1 - a - 1)^{2}

2 y d x + x (x^{2} ln (y) - 1) d y

(1 - 2 x)^{2}

sin (5 (t - w))

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

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