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

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

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

expand

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

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

Solution steps

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

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

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

Expand

2 (- 3 x^{2} + 1) : - 6 x^{2} + 2

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

e^{t} (t^{2} + 2 t - 1)

(1 - cos (x)) 2

\frac{d ^{2}}{d t ^{2}} ((h) (3 t^{2} - 2 t + 4 + e^{- 10 t}))

- 5 (- 7 - 2)

\frac{2 x c ( x - b )}{- 2 b + x + a}

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