simplify the ration expression
[tex]\frac{3x-6}{x-2}[/tex]
start by seeing if anything in the numerator or denominator can be factored,
you should notice that you can factor out a 3 from 3x-6 in the numerator
when you do so, the result is
[tex]\frac{3 *(x-2)}{x-2}[/tex]
now, since there is an x-2 in the numerator and denominator, they "cancel" out since
[tex]\frac{x-2}{x-2} =1[/tex]
however, only when [tex]x \neq 2[/tex]
since [tex]\frac{0}{0} \neq 1[/tex]
when you cancel out the x-2, you're left with 3
hence, your answer is C