Hello I am just starting factoring, the book lists the correct method for solving the following problem as.

but what if you were to do it like this?

Very confusing since they both give the correct answer once distributed.

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- Aug 21st 2008, 08:55 PMcmf0106Basic Factoring Question
Hello I am just starting factoring, the book lists the correct method for solving the following problem as.

but what if you were to do it like this?

Very confusing since they both give the correct answer once distributed. - Aug 21st 2008, 09:07 PMJhevon
- Aug 21st 2008, 09:16 PMcmf0106
Thanks & one last thing for now.

In

can be factored out because in the term is the MOST that can removed and still remain an x value. And since factoring is "divided into" we are subtracting the exponent values because . Thus can be factored out, does that logic sound correct? Also this procedure is not done for the z and y variables because they do not show up in all the terms right? - Aug 21st 2008, 09:43 PMJhevon
basically, you can factor out the lowest power of any term common to all terms. in the case of , it is

your logic seems about right, but i would call it "dividing out of" but maybe that makes no sense. you are correct with y and z. but yes, you watch the powers in the same way you stated. and you can double check yourself by seeing that when you are multiplying out again, the powers add up to give you what was in the original - Aug 22nd 2008, 06:57 AMcmf0106
Same type of question for this one

The book has the answer but I solved it

**14x*** -**14x*** 1= . It seems like I picked the correct number combination, because in the original problem 14x is the largest number that divides into both 14x and 28xy - Aug 22nd 2008, 09:33 AMJhevon