What is expand-(2x(-x^2+3))/((x^2+1)^3) ?

The solution to expand-(2x(-x^2+3))/((x^2+1)^3) is -(-2x^3+6x)/(x^6+3x^4+3x^2+1)

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expand-(2x(-x^2+3))/((x^2+1)^3)

expand

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

- \frac{- 2 x ^{3} + 6 x}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1}

Solution steps

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

(x^{2} + 1)^{3} = x^{6} + 3 x^{4} + 3 x^{2} + 1

= - \frac{2 x ( - x ^{2} + 3 )}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1}

Expand

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

= - \frac{- 2 x ^{3} + 6 x}{x ^{6} + 3 x ^{4} + 3 x ^{2} + 1}

(3 t - \frac{4}{p})^{5}

sin (t) U (t - 2 π)

\frac{1}{( x + 5 ) ^{2}}

\frac{s}{( s + 3 ) ( s + 5 )}

(u - u) (u + u)

What is expand-(2x(-x^2+3))/((x^2+1)^3) ?
The solution to expand-(2x(-x^2+3))/((x^2+1)^3) is -(-2x^3+6x)/(x^6+3x^4+3x^2+1)