What is expand-(2(-x^3-3x^2+9x+3))/((x^2+3)^3) ?

The solution to expand-(2(-x^3-3x^2+9x+3))/((x^2+3)^3) is -(-2x^3-6x^2+18x+6)/(x^6+9x^4+27x^2+27)

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expand-(2(-x^3-3x^2+9x+3))/((x^2+3)^3)

expand

- \frac{2 ( - x ^{3} - 3 x ^{2} + 9 x + 3 )}{( x ^{2} + 3 ) ^{3}}

- \frac{- 2 x ^{3} - 6 x ^{2} + 18 x + 6}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

Solution steps

- \frac{2 ( - x ^{3} - 3 x ^{2} + 9 x + 3 )}{( x ^{2} + 3 ) ^{3}}

(x^{2} + 3)^{3} = x^{6} + 9 x^{4} + 27 x^{2} + 27

= - \frac{2 ( - x ^{3} - 3 x ^{2} + 9 x + 3 )}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

Expand

2 (- x^{3} - 3 x^{2} + 9 x + 3) : - 2 x^{3} - 6 x^{2} + 18 x + 6

= - \frac{- 2 x ^{3} - 6 x ^{2} + 18 x + 6}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

(1 + \frac{1}{3} x)^{9}

(5 - 1 + r) r

(x - 2 - 2) \cdot (x - 2 + 2)

(2 + 2) 4

What is expand-(2(-x^3-3x^2+9x+3))/((x^2+3)^3) ?
The solution to expand-(2(-x^3-3x^2+9x+3))/((x^2+3)^3) is -(-2x^3-6x^2+18x+6)/(x^6+9x^4+27x^2+27)