What is expand (x(6x^2+72))/((x^2-4)^3) ?

The solution to expand (x(6x^2+72))/((x^2-4)^3) is (6x^3+72x)/(x^6-12x^4+48x^2-64)

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expand (x(6x^2+72))/((x^2-4)^3)

expand

\frac{x ( 6 x ^{2} + 72 )}{( x ^{2} - 4 ) ^{3}}

\frac{6 x ^{3} + 72 x}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

Solution steps

\frac{x ( 6 x ^{2} + 72 )}{( x ^{2} - 4 ) ^{3}}

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

= \frac{x ( 6 x ^{2} + 72 )}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

Expand

x (6 x^{2} + 72) : 6 x^{3} + 72 x

= \frac{6 x ^{3} + 72 x}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

(x + 4 - 3 i)^{2}

\frac{5 ( 5 + 897 )}{109}

- \frac{10 sin ( x )}{( 2 - 3 cos ( x ) ) ^{2}}

A (2, - 11) y B (- 1, - 5)

(x + (\frac{2}{3})) (x + 7)

What is expand (x(6x^2+72))/((x^2-4)^3) ?
The solution to expand (x(6x^2+72))/((x^2-4)^3) is (6x^3+72x)/(x^6-12x^4+48x^2-64)