What is expand (8(-3x^2+2))/((x^2+2)^3) ?

The solution to expand (8(-3x^2+2))/((x^2+2)^3) is (-24x^2+16)/(x^6+6x^4+12x^2+8)

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expand (8(-3x^2+2))/((x^2+2)^3)

expand

\frac{8 ( - 3 x ^{2} + 2 )}{( x ^{2} + 2 ) ^{3}}

\frac{- 24 x ^{2} + 16}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

Solution steps

\frac{8 ( - 3 x ^{2} + 2 )}{( x ^{2} + 2 ) ^{3}}

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

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

Expand

8 (- 3 x^{2} + 2) : - 24 x^{2} + 16

= \frac{- 24 x ^{2} + 16}{x ^{6} + 6 x ^{4} + 12 x ^{2} + 8}

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

\frac{2 s + 10}{s ( s ^{2} + 6 s + 25 )}

(1 - e^{- πjn})^{2}

\frac{d}{d t} ((x) ((x - 1) (1 - 2 x)))

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

What is expand (8(-3x^2+2))/((x^2+2)^3) ?
The solution to expand (8(-3x^2+2))/((x^2+2)^3) is (-24x^2+16)/(x^6+6x^4+12x^2+8)