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

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

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

expand

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

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

Solution steps

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

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

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

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

(5 f + 3 e)^{2}

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

\frac{1}{( x - 3 ) ( x - 2 ) ( x - 1 )}

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

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