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

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

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

expand

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

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

Solution steps

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

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

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

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

- \frac{24 x}{( x ^{2} + 3 ) ^{2}}

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

(- \frac{1}{x ^{2}})^{3} (x^{3})^{3}

\frac{3 ^{(x + 1) (x + 2)} + 65}{72}

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