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- anonymous

Factor the following expression 18u^3v^2x^6−12u^7v^8

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- anonymous

Factor the following expression 18u^3v^2x^6−12u^7v^8

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- anonymous

Oops - it should be 3u^9v^4w^3+15u^2v^5

- myininaya

Hi.
@Juliette2120 do you know the greatest common factor of 18 and 12?

- myininaya

oh sorry didn't see the new problem.

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- myininaya

Do you know the greatest common factor of 3 and 15?

- myininaya

if I write
15 as 3(5)
and you compare 3 to 3(5)
can you tell me the factors that 3 and 3(5) have in common?

- anonymous

3 is the greatest common factor

- myininaya

yes now let's look at the u's of each term
\[3u^9v^4w^3+15u^2v^5\\ 3(u^9v^4w^3+5u^2v^5)\]
so this is what we have now
but we can factor out more than just what we factored out

- myininaya

now looking at the u part...
we have u^9 and u^2

- myininaya

\[u^9=u^2 \cdot u^7\]
what factors does \[u^2 \cdot u^7 \text{ and } u^2 \text{ have in common }\]

- myininaya

let me know if you are having trouble?

- anonymous

Sorry! OS won't seem to let me post my replies!

- myininaya

I guess it let's you reply after refreshing the page ? Or do you have to completely leave and come back to post a reply?
I'm on google chrome and haven o problems. Maybe you can try that internet browser.

- anonymous

I think I was able to figure this out. Thank you very much for your help! Just the simplification sent me in the right direction.

- myininaya

No problem.

- myininaya

But we still needed to factor out a few more things.

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