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}

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

\frac{d}{d y} ((x) (x - y))

(t e^{t} + t e^{2 t})^{2}

- \frac{40 ( - 3 x ^{2} - 4 )}{( x ^{2} - 4 ) ^{3}}

\frac{d}{d x} ((1 - x^{2}) arctan (x)) - x

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)