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

The solution to expand (4(3x^2+4))/((x^2-4)^3) is (12x^2+16)/(x^6-12x^4+48x^2-64)

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

expand

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

\frac{12 x ^{2} + 16}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

Solution steps

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

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

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

Expand

4 (3 x^{2} + 4) : 12 x^{2} + 16

= \frac{12 x ^{2} + 16}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

(x - a) (x - b) (x - c) (x - d) (x - e)

\frac{1}{2 k ( 4 - 8 k + 20 k ^{2} )}

(2 (x + 1))!

(2 + sin (θ))^{2}

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

What is expand (4(3x^2+4))/((x^2-4)^3) ?
The solution to expand (4(3x^2+4))/((x^2-4)^3) is (12x^2+16)/(x^6-12x^4+48x^2-64)