What is expand-(36(-x^2+1))/((x^2+3)^3) ?

The solution to expand-(36(-x^2+1))/((x^2+3)^3) is -(-36x^2+36)/(x^6+9x^4+27x^2+27)

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expand-(36(-x^2+1))/((x^2+3)^3)

expand

- \frac{36 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

- \frac{- 36 x ^{2} + 36}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

Solution steps

- \frac{36 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

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

= - \frac{36 ( - x ^{2} + 1 )}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

Expand

36 (- x^{2} + 1) : - 36 x^{2} + 36

= - \frac{- 36 x ^{2} + 36}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

\frac{( 6 - x ) ^{4}}{81}

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

\frac{x + 4}{( x + 5 ) ( x - 1 )}

\frac{2 s ^{2} - 6 s + 5}{( s - 1 ) ( s - 2 ) ( s - 3 )}

What is expand-(36(-x^2+1))/((x^2+3)^3) ?
The solution to expand-(36(-x^2+1))/((x^2+3)^3) is -(-36x^2+36)/(x^6+9x^4+27x^2+27)