What is expand 1/((x^2-y^2)^3) ?

The solution to expand 1/((x^2-y^2)^3) is 1/(x^6-3x^4y^2+3x^2y^4-y^6)

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expand 1/((x^2-y^2)^3)

expand

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

\frac{1}{x ^{6} - 3 x ^{4} y ^{2} + 3 x ^{2} y ^{4} - y ^{6}}

Solution steps

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

(x^{2} - y^{2})^{3} = x^{6} - 3 x^{4} y^{2} + 3 x^{2} y^{4} - y^{6}

= \frac{1}{x ^{6} - 3 x ^{4} y ^{2} + 3 x ^{2} y ^{4} - y ^{6}}

\frac{s + 3}{s ( s ^{2} + 3 ) ^{2}}

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

(5, - 6) sin (x)

\frac{7 \cdot 2 ^{x} - 2 x - 6}{2 ( - x + 7 \cdot 2 ^{x} - 4 )}

\frac{5 s ^{2} + 732}{( s ^{2} + 144 ) ( s + 2 )}

What is expand 1/((x^2-y^2)^3) ?
The solution to expand 1/((x^2-y^2)^3) is 1/(x^6-3x^4y^2+3x^2y^4-y^6)