Question

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

Answer 1

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

The fraction does not simplify - there are no like factors to cancel.

Explanation:

Find the factors of the denominator:

Find factors of `6` which ADD to `5`.
The signs will both be negative.

the factors `-2 and -3` will give `-5`

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

The fraction does not simplify - there are no like factors to cancel.