Question

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

Answer 1

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)`