What is expand (x^2-7x+9)/((x-1)^2(x+2)) ?

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

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expand (x^2-7x+9)/((x-1)^2(x+2))

expand

\frac{x ^{2} - 7 x + 9}{( x - 1 ) ^{2} ( x + 2 )}

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

Solution steps

\frac{x ^{2} - 7 x + 9}{( x - 1 ) ^{2} ( x + 2 )}

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

= \frac{x ^{2} - 7 x + 9}{( x ^{2} - 2 x + 1 ) ( x + 2 )}

Expand

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

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

\frac{- X ^{2} - 2 X}{( X ^{2} + X + 1 ) ^{2}}

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

(6, 2, 3) x (- 2, - 3, - 7)

(y^{2} + 3) d x + (2 x y - 4) d y

\frac{x - 2}{2 x}

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