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}

(1 + cos (x)) (csc (x) - cot (x)) csc (x)

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

\frac{n ( n - 3 )}{2}

2 (2 - 1)

\frac{1}{s ( s ^{2} + w ^{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)