What is expand-(16x(-x^2+12))/((x^2+4)^3) ?

The solution to expand-(16x(-x^2+12))/((x^2+4)^3) is -(-16x^3+192x)/(x^6+12x^4+48x^2+64)

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expand-(16x(-x^2+12))/((x^2+4)^3)

expand

- \frac{16 x ( - x ^{2} + 12 )}{( x ^{2} + 4 ) ^{3}}

- \frac{- 16 x ^{3} + 192 x}{x ^{6} + 12 x ^{4} + 48 x ^{2} + 64}

Solution steps

- \frac{16 x ( - x ^{2} + 12 )}{( x ^{2} + 4 ) ^{3}}

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

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

Expand

16 x (- x^{2} + 12) : - 16 x^{3} + 192 x

= - \frac{- 16 x ^{3} + 192 x}{x ^{6} + 12 x ^{4} + 48 x ^{2} + 64}

\frac{( e ^{3 s} - e ^{4 s} )}{( s - 4 ) ( s + 1 )}

(cos (θ) + sin (θ)) (cos (θ))

(3 x - 9) (3 x + 9)

(e^{2 y} - y cos (x y)) d y

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

What is expand-(16x(-x^2+12))/((x^2+4)^3) ?
The solution to expand-(16x(-x^2+12))/((x^2+4)^3) is -(-16x^3+192x)/(x^6+12x^4+48x^2+64)