What is expand (-2x^2+10x+4)/((x-1)(x^2+2x+9)) ?

The solution to expand (-2x^2+10x+4)/((x-1)(x^2+2x+9)) is (-2x^2+10x+4)/(x^3+x^2+7x-9)

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expand (-2x^2+10x+4)/((x-1)(x^2+2x+9))

expand

\frac{- 2 x ^{2} + 10 x + 4}{( x - 1 ) ( x ^{2} + 2 x + 9 )}

\frac{- 2 x ^{2} + 10 x + 4}{x ^{3} + x ^{2} + 7 x - 9}

Solution steps

\frac{- 2 x ^{2} + 10 x + 4}{( x - 1 ) ( x ^{2} + 2 x + 9 )}

Expand

(x - 1) (x^{2} + 2 x + 9) : x^{3} + x^{2} + 7 x - 9

= \frac{- 2 x ^{2} + 10 x + 4}{x ^{3} + x ^{2} + 7 x - 9}

(x - 2)^{2} (x + 2)

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

\frac{( 45 a ^{2} - b )}{( 30 ab )}

(x - \frac{1}{3 x ^{2}})^{10}

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

What is expand (-2x^2+10x+4)/((x-1)(x^2+2x+9)) ?
The solution to expand (-2x^2+10x+4)/((x-1)(x^2+2x+9)) is (-2x^2+10x+4)/(x^3+x^2+7x-9)