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Mathematics 23 Online
OpenStudy (anonymous):

Which is the simplified form of 8x-24/3x-9

jimthompson5910 (jim_thompson5910):

Can you factor 8x-24?

OpenStudy (anonymous):

I'm not sure how to do that to be honest.

jimthompson5910 (jim_thompson5910):

What is the GCF of 8x and -24?

OpenStudy (anonymous):

4

OpenStudy (anonymous):

oops 8

jimthompson5910 (jim_thompson5910):

good, so you can factor out 8 from 8x-24 to get 8(x-3)

jimthompson5910 (jim_thompson5910):

do the same thing with 3x-9 to get what?

OpenStudy (anonymous):

3

jimthompson5910 (jim_thompson5910):

so 3x-9 factors to?

OpenStudy (anonymous):

and it becomes 3(x-3)

jimthompson5910 (jim_thompson5910):

perfect

jimthompson5910 (jim_thompson5910):

so we now have 8(x-3) over 3(x-3)

jimthompson5910 (jim_thompson5910):

what's next?

OpenStudy (anonymous):

Do we get rid of the (x-3) ?

jimthompson5910 (jim_thompson5910):

yes, they cancel out

OpenStudy (anonymous):

and then I'm left with 8/3

OpenStudy (anonymous):

8/3

jimthompson5910 (jim_thompson5910):

you got it

jimthompson5910 (jim_thompson5910):

that's the final answer since 8/3 can't be reduced

OpenStudy (anonymous):

Alright! Thanks a lot!

jimthompson5910 (jim_thompson5910):

you're welcome

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