Question

simplifying the rational expression. State any excluded value
3x-6/x-2. I think it's A. 3; where x =2 (the equal has a line going through it)
B. x
C.6 where x =3 (also has a line going through the equal)
One D.1
If i'm wrong let me know please explain the answer ^ ^

Answer 1

this?
\[\frac{3x-6}{x-2}\]

Answer 2

I hope factoring further isn't required because I can cancel out the x-2 if I take the three out

so for this particular fraction we need to find an x that makes it undefined, so we need to exclude it
. It's like solving x-2=0

Answer 3

Yeah It looks like that

Answer 4

Okay, Can you help me solve it, i'm not good with math?

Answer 5

for x -2 = 0?

Answer 6

this feels like a double edge sword problem... if I factor further the denominator is wiped out

Answer 7

if I don't factor, then we can find an x value that makes the fraction undefined.

Answer 8

I don't have that option >~<

Answer 9

ahhhhhhh I found the problem :P
one part is what makes that fraction undefined
the other is to simplify XD

Answer 10

ok a two parter :P
what makes x undefined?
solve
x-2 = 0

Answer 11

Not really sure 1?

Answer 12

x-2= 0
what do we need to do to have x by itself
add, subtract, multiply, or divide

Answer 13

Get rid of add two to both sides?

Answer 14

yes so x =2 ... that's our restriction

Answer 15

\[\frac{3x-6}{x-2} \] now we just have to factor on the numerator . what number do they have in common?
hint: it's the three times table
3 x 1
3 x 2

Answer 16

3?

Answer 17

yeah so we take the 3 out
\[\frac{3(x-2)}{x-2}\]

Answer 18

then we can cancel out x-2

Answer 19

That leaves us with 3x?

Answer 20

close... just 3