What is expand (-24x^3-96x)/((x+2)^4(x-2)^4) ?

The solution to expand (-24x^3-96x)/((x+2)^4(x-2)^4) is (-24x^3-96x)/(x^8-16x^6+96x^4-256x^2+256)

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expand (-24x^3-96x)/((x+2)^4(x-2)^4)

expand

\frac{- 24 x ^{3} - 96 x}{( x + 2 ) ^{4} ( x - 2 ) ^{4}}

\frac{- 24 x ^{3} - 96 x}{x ^{8} - 16 x ^{6} + 96 x ^{4} - 256 x ^{2} + 256}

Solution steps

\frac{- 24 x ^{3} - 96 x}{( x + 2 ) ^{4} ( x - 2 ) ^{4}}

(x + 2)^{4} = x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16

= \frac{- 24 x ^{3} - 96 x}{( x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16 ) ( x - 2 ) ^{4}}

(x - 2)^{4} = x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16

= \frac{- 24 x ^{3} - 96 x}{( x ^{4} + 8 x ^{3} + 24 x ^{2} + 32 x + 16 ) ( x ^{4} - 8 x ^{3} + 24 x ^{2} - 32 x + 16 )}

Expand

(x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16) (x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16) : x^{8} - 16 x^{6} + 96 x^{4} - 256 x^{2} + 256

= \frac{- 24 x ^{3} - 96 x}{x ^{8} - 16 x ^{6} + 96 x ^{4} - 256 x ^{2} + 256}

- \frac{2 y}{ln ( x ^{2} - 4 ) ( y ^{2} - 16 ) ^{2}}

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

\frac{- 2 x - 11}{( x + 4 ) ( x + 1 )}

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

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

What is expand (-24x^3-96x)/((x+2)^4(x-2)^4) ?
The solution to expand (-24x^3-96x)/((x+2)^4(x-2)^4) is (-24x^3-96x)/(x^8-16x^6+96x^4-256x^2+256)