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

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

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

expand

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

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

Solution steps

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

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

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

x (x + 1) (x + 2) (x + 3) + 1

(x - 3) (x + 3)

(x - 2) (x + 2)

(2 + 3 z + z^{2})^{5}

(e^{x} cos (x) - e^{x} sin (x))^{2}

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