What is expand-(2x(-x^2+27))/((x^2+9)^3) ?

The solution to expand-(2x(-x^2+27))/((x^2+9)^3) is -(-2x^3+54x)/(x^6+27x^4+243x^2+729)

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expand-(2x(-x^2+27))/((x^2+9)^3)

expand

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

- \frac{- 2 x ^{3} + 54 x}{x ^{6} + 27 x ^{4} + 243 x ^{2} + 729}

Solution steps

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

(x^{2} + 9)^{3} = x^{6} + 27 x^{4} + 243 x^{2} + 729

= - \frac{2 x ( - x ^{2} + 27 )}{x ^{6} + 27 x ^{4} + 243 x ^{2} + 729}

Expand

2 x (- x^{2} + 27) : - 2 x^{3} + 54 x

= - \frac{- 2 x ^{3} + 54 x}{x ^{6} + 27 x ^{4} + 243 x ^{2} + 729}

\frac{4 π ( e ^{343} - 1 )}{3 e ^{343}}

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

(\frac{1}{y} - y) (y + \frac{1}{y})

(e^{t})^{2}

2 (\frac{2 x}{3} - \frac{5}{6})

What is expand-(2x(-x^2+27))/((x^2+9)^3) ?
The solution to expand-(2x(-x^2+27))/((x^2+9)^3) is -(-2x^3+54x)/(x^6+27x^4+243x^2+729)