Question

How do you simplify `(x^2-5x+4)/(x^2-x-12)`?

Answer 1

`=(x-1)/(x+3)`

Explanation:

We can solve this by factorising the top and bottom, then cancelling out common factors:
`(x^2-5x+4)/(x^2-x-12) = ((x-1)(x-4))/((x-4)(x+3))`
`=(x-1)/(x+3)`

If you don't know how to factorise the top and bottom, there are other answers on this site explaining how to