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

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

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expand (-4x^2+4)/((x^2+1)^2)

expand

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

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

Solution steps

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

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

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

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

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

\frac{3 s + 1}{( s + 4 ) ^{3} ( s ^{2} + s + 2.5 )}

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

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