Question

simplified form of 3x-6/x-z

Answer 1

is that x-z or x-2 ?

Answer 2

sorry x-2

Answer 3

do you know how to factor 3 out of 3x-6 ?

Answer 4

this is what i got (x-2) (x+3)/(x-2) i guess i factored it out

Answer 5

factoring does not change the value. if you undo the factoring by multiplying you should get back what you started with.

here is an example
2x +4 which is the same as 2*x + 2*2
notice that there is a 2* in both terms.
we can factor this to be 2(x+4)

for your problem 3x+6 this is the same as 3*x + 3*2
can you factor it ?

Answer 6

no yes you can

Answer 7

for your problem 3x+6 this is the same as 3*x + 3*2
what number is in both terms ?

Answer 8

3

Answer 9

yes, 3. you can "factor out 3". that means take the 3 out of each term and put the 3 in front of the parens:
3x - 3*2 becomes 3*(x -2)

your expression is now
\[ \frac{3(x-2)}{x-2}\]

though it is complicated (x-2) divided by (x-2) is 1
anything (no matter how complicated it looks) divided by itself is 1

what do you get ?