Question

How do you simplify `6/(x^2 - 6x +5) + 8/(x^2-1)`?

Answer 1

`(14x-34)/[(x+1)(x-1)(x-5)]`

Explanation:

`6/(x^2-6x+5)+8/(x^2-1)`

`=6/[(x-1)(x-5)]+8/[(x+1)(x-1)]`

`=[6*(x+1)+8*(x-5)]/[(x+1)(x-1)(x-5)]`

`=(14x-34)/[(x+1)(x-1)(x-5)]`