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?
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