What is expand (18(-x^2+1))/((x^2+3)^3) ?

The solution to expand (18(-x^2+1))/((x^2+3)^3) is (-18x^2+18)/(x^6+9x^4+27x^2+27)

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expand (18(-x^2+1))/((x^2+3)^3)

expand

\frac{18 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

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

Solution steps

\frac{18 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

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

= \frac{18 ( - x ^{2} + 1 )}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

Expand

18 (- x^{2} + 1) : - 18 x^{2} + 18

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

(x - 3) (x - 3)

- sin (x + y) (1 + \frac{d y}{d x})

2 (ln (7 + 43) - 3)

(e^{- x} + x) y

What is expand (18(-x^2+1))/((x^2+3)^3) ?
The solution to expand (18(-x^2+1))/((x^2+3)^3) is (-18x^2+18)/(x^6+9x^4+27x^2+27)