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3 votes
Can someone solve this question just so i can check
updated(i uploaded the screenshot)

Can someone solve this question just so i can check updated(i uploaded the screenshot-example-1

1 Answer

7 votes

Explanation:


(x-3)/(x^2-6x+9)+(x+2)/(x-5)

Factor denominator:


(x-3)/((x-3)^2)+(x+2)/(x-5)

Simplify:


(1)/(x-3)+(x+2)/(x-5)

Common denominator:


(x-5)/((x-3)(x-5))+((x+2)(x-3))/((x-3)(x-5))

Distribute:


(x-5)/(x^2-8x+15)+(x^2-x-6)/(x^2-8x+15)

Add:


(x^2-11)/(x^2-8x+15)

User GAMA
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