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

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

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

expand

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

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

Solution steps

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

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

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

(\frac{1}{3 x} + (- 3) x^{2})^{8}

\frac{1}{x ( x - a )}

(sec (x) - 1) cot (x) - csc (x)

a sin ((n - 1) \frac{π}{2})

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

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