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

The solution to expand (x^2)/((x-1)^2(x-2)) is (x^2)/(x^3-4x^2+5x-2)

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expand (x^2)/((x-1)^2(x-2))

expand

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

\frac{x ^{2}}{x ^{3} - 4 x ^{2} + 5 x - 2}

Solution steps

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

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

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

Expand

(x^{2} - 2 x + 1) (x - 2) : x^{3} - 4 x^{2} + 5 x - 2

= \frac{x ^{2}}{x ^{3} - 4 x ^{2} + 5 x - 2}

(15 x^{3} + 7 x^{2} - 11 x + 17) d x

(2 x + 3) (2 x - 3)

\frac{2 3 ( x - 2 π )}{3} - \frac{3}{2}

(3 x^{2} + 5 x - 6) l e f t (- x^{2} - 2 x + 12) + (x^{2} + 2 x - 3)

e (f + g)

What is expand (x^2)/((x-1)^2(x-2)) ?
The solution to expand (x^2)/((x-1)^2(x-2)) is (x^2)/(x^3-4x^2+5x-2)