Question

Can someone explain and answer please??

Answer 1

simplify the ration expression

`(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

`(3 *(x-2))/(x-2)`

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


`(x-2)/(x-2) =1`
however, only when
`x \\eq 2`
since
`(0)/(0) \\eq 1`

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

hence, your answer is C