# How do you simplify the expression (x^2-10x+24)/(x^2-12x+36)?

Jul 6, 2016

$= \frac{\left(x - 4\right)}{\left(x - 6\right)}$

#### Explanation:

Although this is a fraction, we may not cancel any of the terms at all. The whole fraction is one term, but there are 3 terms in the numerator and 3 terms in the denominator.

IN order to cancel we have to find the factors first.

$\frac{\left(x - 6\right) \left(x - 4\right)}{\left(x - 6\right) \left(x - 6\right)}$

$= \frac{\cancel{x - 6} \left(x - 4\right)}{\cancel{x - 6} \left(x - 6\right)}$

$= \frac{\left(x - 4\right)}{\left(x - 6\right)}$