What is expand (-y^3-yx^2)/((x^2-y^2)^4) ?

The solution to expand (-y^3-yx^2)/((x^2-y^2)^4) is (-y^3-yx^2)/(x^8-4y^2x^6+6y^4x^4-4y^6x^2+y^8)

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expand (-y^3-yx^2)/((x^2-y^2)^4)

expand

\frac{- y ^{3} - y x ^{2}}{( x ^{2} - y ^{2} ) ^{4}}

\frac{- y ^{3} - y x ^{2}}{x ^{8} - 4 y ^{2} x ^{6} + 6 y ^{4} x ^{4} - 4 y ^{6} x ^{2} + y ^{8}}

Solution steps

\frac{- y ^{3} - y x ^{2}}{( x ^{2} - y ^{2} ) ^{4}}

(x^{2} - y^{2})^{4} = x^{8} - 4 y^{2} x^{6} + 6 y^{4} x^{4} - 4 y^{6} x^{2} + y^{8}

= \frac{- y ^{3} - y x ^{2}}{x ^{8} - 4 y ^{2} x ^{6} + 6 y ^{4} x ^{4} - 4 y ^{6} x ^{2} + y ^{8}}

\frac{2 + x e ^{- 2 x}}{x ( x + 3 ) ( x + 4 )}

(2 x + 1) 2 x + 1

\frac{2}{3} (a + 3 (b - \frac{4}{3}))

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

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

What is expand (-y^3-yx^2)/((x^2-y^2)^4) ?
The solution to expand (-y^3-yx^2)/((x^2-y^2)^4) is (-y^3-yx^2)/(x^8-4y^2x^6+6y^4x^4-4y^6x^2+y^8)