What is expand (-5x^2+8x+9)/((x+2)(x-1)^2) ?

The solution to expand (-5x^2+8x+9)/((x+2)(x-1)^2) is (-5x^2+8x+9)/(x^3-3x+2)

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expand (-5x^2+8x+9)/((x+2)(x-1)^2)

expand

\frac{- 5 x ^{2} + 8 x + 9}{( x + 2 ) ( x - 1 ) ^{2}}

\frac{- 5 x ^{2} + 8 x + 9}{x ^{3} - 3 x + 2}

Solution steps

\frac{- 5 x ^{2} + 8 x + 9}{( x + 2 ) ( x - 1 ) ^{2}}

(x - 1)^{2} = x^{2} - 2 x + 1

= \frac{- 5 x ^{2} + 8 x + 9}{( x + 2 ) ( x ^{2} - 2 x + 1 )}

Expand

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

= \frac{- 5 x ^{2} + 8 x + 9}{x ^{3} - 3 x + 2}

(\frac{1}{2} - x^{2})^{7}

(i + 3 k - j) l e f t (k - 4 j + 2 i)

\frac{1}{2 ( 1 - x )}

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

x (x + Δ x)

What is expand (-5x^2+8x+9)/((x+2)(x-1)^2) ?
The solution to expand (-5x^2+8x+9)/((x+2)(x-1)^2) is (-5x^2+8x+9)/(x^3-3x+2)