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

Jul 28, 2017

$\frac{x + 2}{\left(x - 2\right) \left(x - 3\right)}$

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 $- 2 \mathmr{and} - 3$ will give $- 5$

$\frac{x + 2}{\left(x - 2\right) \left(x - 3\right)}$

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