Question

2x+3/(x-1)(x-2)=A/x-1+B/x-2 then (a,b)=

Answer 1

Step-by-step explanation:

2x+3/(x-1)(x-2)=A/x-1+B/x-2

2x+3/(x-1)(x-2)=A(x-2)+B(x-1)/(x-1)(x-2)

2x+3=A(x-2)+B(x-1)

if x=1

2(1)+3=A(1-2)

5=-A

A=-5

if x=2

2(2)+3=B(2-1)

7=B

your answer A=-5,B=7

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