# How do you simplify and find the excluded values of (3x-6)/(x-2)?

Jan 18, 2017

See the entire simplification process below:

#### Explanation:

First, to simplify this expression we can rewrite the numerator as follows:

$\frac{3 x - 6}{x - 2} \to \frac{\left(3 \times x\right) - \left(3 \times 2\right)}{x - 2} \to \frac{3 \left(x - 2\right)}{x - 2}$

We can now cancel terms to simplify the expression:

$\frac{3 \textcolor{red}{\cancel{\textcolor{b l a c k}{\left(x - 2\right)}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{\left(x - 2\right)}}}} \to 3$

We need to exclude values where the numerator is $0$:

$x - 2 = 0$

$x - 2 + \textcolor{red}{2} = 0 + \textcolor{red}{2}$

$x - 0 = 2$

$x = 2$

This expression simplifies to $3$ except where $x = 2$.