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

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

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

expand

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

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

Solution steps

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

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

= - \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}

(x + 1) (x - 3)

(x + 2) (x + 15)

ln (x) (x - 1)

sin (θ) (cot (θ) + csc (θ))

(x + y) (x - y) d x + x (x - 2 y) d y

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