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

Apr 16, 2016

#### Answer:

$= \frac{x - 1}{x + 3}$

#### Explanation:

We can solve this by factorising the top and bottom, then cancelling out common factors:
$\frac{{x}^{2} - 5 x + 4}{{x}^{2} - x - 12} = \frac{\left(x - 1\right) \left(x - 4\right)}{\left(x - 4\right) \left(x + 3\right)}$
$= \frac{x - 1}{x + 3}$

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