What is expand (x-3)/((x-1)(x-2)^2) ?

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

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expand (x-3)/((x-1)(x-2)^2)

expand

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

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

Solution steps

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

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

= \frac{x - 3}{( x - 1 ) ( x ^{2} - 4 x + 4 )}

Expand

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

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

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

2 (\frac{π}{6} - \frac{3}{4})

d x ((x - sin (x)) (x + cos (x)))

10 (k x)

e [3414 - 316 (ln (60)) - 316 (ln (60))^{2}]

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