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}

(1 + 2 i)^{10}

\frac{n ( n + 1 ) ( 2 n + 1 )}{6}

(x^{2} + 1) (x^{2} + 1)

(x + 1)!

\frac{( 2 - t ) ^{2}}{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)