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

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

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

expand

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

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

Solution steps

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

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

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

\frac{4 π}{( w - π ) ^{2}}

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

\frac{32768 x ^{7} ( 2 x ^{8} - 1 )}{2 x - 1}

(1)^{2} + (2 t)^{2} + (3 t^{2})^{2}

5 (csc (x) - \frac{1}{x})

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