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

The solution to expand 1/((x-1)(x-2)^2) is 1/(x^3-5x^2+8x-4)

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

expand

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

\frac{1}{x ^{3} - 5 x ^{2} + 8 x - 4}

Solution steps

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

(x - 2)^{2} = x^{2} - 4 x + 4

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

Expand

(x - 1) (x^{2} - 4 x + 4) : x^{3} - 5 x^{2} + 8 x - 4

= \frac{1}{x ^{3} - 5 x ^{2} + 8 x - 4}

(y, x, i + 2) (x, 1 + y, - 1)

b - \frac{2}{3} (- b + a)

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

(x - y = 1, 1) (2 x + y = 19)

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

What is expand 1/((x-1)(x-2)^2) ?
The solution to expand 1/((x-1)(x-2)^2) is 1/(x^3-5x^2+8x-4)