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Mathematics 9 Online
OpenStudy (anonymous):

simplify -3(-6u-w)-6(-6w-2u)

OpenStudy (anonymous):

@Zenitho can you help?

OpenStudy (anonymous):

Do you understand how to do it at all?

OpenStudy (anonymous):

no not really, sorry

OpenStudy (anonymous):

Okay if you give me just one second. I'm replying to another question.

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

Okay I am here now. Le me help you break it down.

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

What does the problem ask for -3(-6u-w)-6(-6w-2u)? To just simplify?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Okay Let us begin. Have you ever learned PEMDAS?

OpenStudy (anonymous):

i dont think i have

OpenStudy (anonymous):

Parenthesis Exponents Multiplication Division Addition Subtraction

OpenStudy (anonymous):

It is the order to do problems

OpenStudy (anonymous):

oh yes i already know that :)

OpenStudy (anonymous):

So let us simplify what is in the Parenthesis first

OpenStudy (anonymous):

Can anything be simplified in the parenthesis though?

OpenStudy (anonymous):

well in both parenthesis there are both 6 and w soo...

OpenStudy (anonymous):

or are we doing one at a time?

OpenStudy (anonymous):

Well you can't simplify (-6u-w) can you?

OpenStudy (anonymous):

no you cant

OpenStudy (anonymous):

Okay good, there are no exponents so the next thing would be multiplication. -3(-6u-w) ^ Can you figure this out?

OpenStudy (anonymous):

you would multiply 3x6

OpenStudy (anonymous):

Yes you would, and what would you get?

OpenStudy (anonymous):

positive 18

OpenStudy (anonymous):

Positive 18u, right?

OpenStudy (anonymous):

18u-w?

OpenStudy (anonymous):

You have to multiply the -w by the -3 as well. Everything in the parenthesis must be multiplied by what is on the outside. -3(-6u-w)

OpenStudy (anonymous):

i dont understand how you multiply a letter..

OpenStudy (anonymous):

would it just me -3-w?

OpenStudy (anonymous):

be*

OpenStudy (anonymous):

No, it wouldn't. Look at the (-w) as a (-1) So when you multiply the (-3)(-1) it would give you just 3 right?

OpenStudy (anonymous):

oh, yes

OpenStudy (anonymous):

So then the answer to (-3)(-w) would be 3w.

OpenStudy (anonymous):

so now it is 18u-1?

OpenStudy (anonymous):

No it is 18u+3w.

OpenStudy (anonymous):

oh ok...then what?

OpenStudy (anonymous):

So you now have (18u+3w)-6(-6w-2u) Now you have to find out -6(-6w-2u)

OpenStudy (anonymous):

oh so juts subtract 6 from 2 then multiply?

OpenStudy (anonymous):

Remember what I said. When there is a number on the outside of parenthesis, everything on the inside of the parenthesis must be multiplied by that number. In this case everything on the inside must be multiplied by -6.

OpenStudy (anonymous):

ok so 6x6 the 6x2?

OpenStudy (anonymous):

Yes do that, and tell me the answers.

OpenStudy (anonymous):

36 and 12

OpenStudy (anonymous):

Okay so 36w+12u

OpenStudy (anonymous):

now you gotta put the other part in with it?

OpenStudy (anonymous):

(18u+3w)(36w+12u) is what we have now.

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

What math are you in and grade?

OpenStudy (anonymous):

so we add whats in the parenthesis?

OpenStudy (anonymous):

im a senior and im in math for college rediness

OpenStudy (anonymous):

i dont know why im even taking this cuz i dont even wanna go to college but wtv lol

OpenStudy (anonymous):

so is what you wrote the final answer?

OpenStudy (anonymous):

Okay well, I'm trying to find what your teacher is looking for here. I don't want to make it really complex, but it is that type of problem. No that is not. There is a lot more.

OpenStudy (anonymous):

oh okay

OpenStudy (anonymous):

(18u+3w)(36w+12u) What we have to do here is FOIL it. So you take the 18u and you multiplt it by 36w and 12u.

OpenStudy (anonymous):

Wait. Before we do that though.

OpenStudy (anonymous):

okay itd be- wait but what about the u and the w difference

OpenStudy (anonymous):

what?

OpenStudy (anonymous):

Lets simplify so we don't get huge numbers. We will turn (18u+3w)(36w+12u) into 3(6u+w) 12(3w+u)

OpenStudy (anonymous):

alright

OpenStudy (anonymous):

This would be so much easier if I could talk to you. lol Okay, now lets start our FOIL. (6u+w) (3w+u)

OpenStudy (anonymous):

we could mebby skype or sumn :P if you wanted to

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

If you want to it would make it easier.

OpenStudy (anonymous):

do u want me to close this or leave it open?

OpenStudy (anonymous):

Leave it open

OpenStudy (anonymous):

18uw+ 3w^2+6u^2+wu

OpenStudy (anonymous):

19uw

OpenStudy (anonymous):

3(19uw)

OpenStudy (anonymous):

(6u+w) (3w+u) 3(18uw+6u^2)

OpenStudy (anonymous):

54uw+18u^2

OpenStudy (anonymous):

12(3w^2+uw) 36w^2-12uw

OpenStudy (anonymous):

(54uw+18u^2) (36w^2-12uw)

OpenStudy (anonymous):

648uw

OpenStudy (anonymous):

648uw+18u^2+36w^2

OpenStudy (anonymous):

6(108uw+3u^2+12w^2)

OpenStudy (anonymous):

9(36uw+u^2+4w^2)

OpenStudy (anonymous):

648uw+18u^2+36w^2

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