What is expand (-2x^2+3x-24)/((x^2+9)(x-2)) ?

The solution to expand (-2x^2+3x-24)/((x^2+9)(x-2)) is (-2x^2+3x-24)/(x^3-2x^2+9x-18)

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expand (-2x^2+3x-24)/((x^2+9)(x-2))

expand

\frac{- 2 x ^{2} + 3 x - 24}{( x ^{2} + 9 ) ( x - 2 )}

\frac{- 2 x ^{2} + 3 x - 24}{x ^{3} - 2 x ^{2} + 9 x - 18}

Solution steps

\frac{- 2 x ^{2} + 3 x - 24}{( x ^{2} + 9 ) ( x - 2 )}

Expand

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

= \frac{- 2 x ^{2} + 3 x - 24}{x ^{3} - 2 x ^{2} + 9 x - 18}

\frac{1}{s ( s + 2 ) ( s + 7 )}

\frac{x - 2}{( x - 4 ) ( 3 x + 2 )}

\frac{1}{x ^{2} ( x ^{2} + 9 )}

(e^{x^{2} - 2 x}) \cdot (2 x - 2)

\frac{1}{12} (x + 2)^{2} (x - 3)^{2}

What is expand (-2x^2+3x-24)/((x^2+9)(x-2)) ?
The solution to expand (-2x^2+3x-24)/((x^2+9)(x-2)) is (-2x^2+3x-24)/(x^3-2x^2+9x-18)