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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

x y d x + 2 (x^{2} + 2 y^{2}) d y

\frac{( - 7 x + 3 ) ( 9 x + 4 )}{24}

(3 + 2) (1 + 3)

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

(5 + 23)^{2} - 10 (5 + 23) + 13

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