Answer:
3; The excluded value of our given rational expression is [tex]x=2[/tex].
Step-by-step explanation:
We have been given a rational expression. We are asked to simplify our given expression.
[tex]\frac{3x-6}{x-2}[/tex]
First of all, we will factor out 3 from denominator.
[tex]\frac{3(x-2)}{x-2}[/tex]
Upon canceling out [tex]x-2[/tex], we will get:
[tex]\frac{3(x-2)}{x-2}=3[/tex]
Therefore, the simplified form of our given rational expression is 3.
We know that excluded value of a rational expression are those values, which make denominator zero.
Upon setting our denominator equal to 0, we will get:
[tex]x-2=0[/tex]
[tex]x-2+2=0+2[/tex]
[tex]x=2[/tex]
Therefore, the excluded value of our given rational expression is [tex]x=2[/tex].
