What is expand-(6(u^2-2))/((u^2+2)^2) ?

The solution to expand-(6(u^2-2))/((u^2+2)^2) is -(6u^2-12)/(u^4+4u^2+4)

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expand-(6(u^2-2))/((u^2+2)^2)

expand

- \frac{6 ( u ^{2} - 2 )}{( u ^{2} + 2 ) ^{2}}

- \frac{6 u ^{2} - 12}{u ^{4} + 4 u ^{2} + 4}

Solution steps

- \frac{6 ( u ^{2} - 2 )}{( u ^{2} + 2 ) ^{2}}

(u^{2} + 2)^{2} = u^{4} + 4 u^{2} + 4

= - \frac{6 ( u ^{2} - 2 )}{u ^{4} + 4 u ^{2} + 4}

Expand

6 (u^{2} - 2) : 6 u^{2} - 12

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

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

sin (x) ln (x) (2 x - 1)

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

\frac{( 2 x + 3 )}{( x ^{2} + x + 1 ) ^{2} ( x - 1 ) ^{3} ( x + 1 ) ^{2}}

lo g_{10} (4) x^{4}

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