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

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

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

expand

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

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

Solution steps

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

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

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

(e^{t} - 9)^{2}

(- 9 sin (x) + 9 sin (9 x))^{2}

\frac{1}{s ( 1 + e ^{- s} )}

(5 - 3 x i)^{2}

- \frac{300 ( - 3 x ^{2} - 25 )}{( x ^{2} - 25 ) ^{3}}

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