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

The solution to expand (2(3x^2-2))/((x^2+2)^3) is (6x^2-4)/(x^6+6x^4+12x^2+8)

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

expand

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

\frac{6 x ^{2} - 4}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

Solution steps

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

(x^{2} + 2)^{3} = x^{6} + 6 x^{4} + 12 x^{2} + 8

= \frac{2 ( 3 x ^{2} - 2 )}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

Expand

2 (3 x^{2} - 2) : 6 x^{2} - 4

= \frac{6 x ^{2} - 4}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

(x + x i)^{3}

d y (x y - 2 x + 4 y - 8) - d x (x y + 3 x - y - 3)

3 l e f t (x + y)

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

\frac{1}{s ( s - 2 )}

What is expand (2(3x^2-2))/((x^2+2)^3) ?
The solution to expand (2(3x^2-2))/((x^2+2)^3) is (6x^2-4)/(x^6+6x^4+12x^2+8)