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

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

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

expand

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

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

Solution steps

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

(x^{2} - 4)^{4} = x^{8} - 16 x^{6} + 96 x^{4} - 256 x^{2} + 256

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

\frac{2 x - 3 x ^{2}}{2 ( 9 + x ^{3} )}

(1, 2, - 6) x (2, 3, 1)

, (1 - 2 + 5) (1 + 1 + 0)

(2 x) (1 + ln (x))

(ez - 1) (z^{2} - 2 z cos (2 k) + 1)

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