Question

Can someone explain and answer please??

Answer 1

Simplify the ration expression
$\frac{3x-6}{x-2}$

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
$\frac{3 *(x-2)}{x-2}$

now, since there is an x-2 in the numerator and denominator, they "cancel" out since

$\frac{x-2}{x-2} =1$
however, only when $x \neq 2$
since $\frac{0}{0} \neq 1$

when you cancel out the x-2, you're left with 3

hence, your answer is C