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

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

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

expand

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

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

Solution steps

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

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

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

(- e^{x} - e^{- x}) \cdot (- e^{x} + e^{- x})

(5 x + 7) (x + 5)^{'}

- x^{3} + (1 + 1 0^{10}) x^{2} - 1 0^{10} x

\frac{x ( x + 8 )}{x ^{2} + 8 x + 16}

e^{(t - 1)} U (t - 1)

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