2 Answers

Simon Ndunda · Answer 1 · 2022-11-17T06:16:10+0000

Answer:

-(3)/(x-1)

Explanation:

Factor the denominator and then combine fractions:

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

Find LCM (Least Common Multiple) of denominators:

LCM of (x-1)(x-2) and x-2 is (x-1)(x-2)

Adjust fractions based on LCM:

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

Denominators are now equal so you can subtract the fractions:

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

Factor the numerator:

(3(-x+2))/((x-1)(x-2))

Cancel:

-(3)/(x-1)

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