What is expand-(2x(-x^2-12))/((x^2-4)^3) ?

The solution to expand-(2x(-x^2-12))/((x^2-4)^3) is -(-2x^3-24x)/(x^6-12x^4+48x^2-64)

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expand-(2x(-x^2-12))/((x^2-4)^3)

expand

- \frac{2 x ( - x ^{2} - 12 )}{( x ^{2} - 4 ) ^{3}}

- \frac{- 2 x ^{3} - 24 x}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

Solution steps

- \frac{2 x ( - x ^{2} - 12 )}{( x ^{2} - 4 ) ^{3}}

(x^{2} - 4)^{3} = x^{6} - 12 x^{4} + 48 x^{2} - 64

= - \frac{2 x ( - x ^{2} - 12 )}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

Expand

2 x (- x^{2} - 12) : - 2 x^{3} - 24 x

= - \frac{- 2 x ^{3} - 24 x}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

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

z (x) + y (z (x), x) (x + z^{'} (x))

(x + 2) (x + 32)

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

(2 + x - 3)^{2}

What is expand-(2x(-x^2-12))/((x^2-4)^3) ?
The solution to expand-(2x(-x^2-12))/((x^2-4)^3) is -(-2x^3-24x)/(x^6-12x^4+48x^2-64)