SOLUTION: use the foil method (5 ypower3 wpower 2+z)(2y power3 w power 2+ 3z) the university of phoenix elementary and intermediate algebra

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Question 93455: use the foil method (5 ypower3 wpower 2+z)(2y power3 w power 2+ 3z) the university of phoenix elementary and intermediate algebra
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression

%285y%5E3%2Ax%5E2%2Bz%29%282y%5E3%2Aw%5E2%2B3z%29

When you FOIL, you multiply the terms in this order:
F-First (i.e. you multiply the first terms in each parenthesis which in this case are 5y%5E3%2Ax%5E2 and 2y%5E3%2Aw%5E2)
O-Outer (i.e. you multiply the outer terms in each parenthesis which in this case are 5y%5E3%2Ax%5E2 and 3z)
I-Inner (i.e. you multiply the inner terms in each parenthesis which in this case are z and 2y%5E3%2Aw%5E2)
L-Last (i.e. you multiply the last terms in each parenthesis which in this case are z and 3z)


So lets multiply the first terms:
5y%5E3%2Ax%5E2%2A2y%5E3%2Aw%5E2=10w%5E2y%5E6x%5E2 multiply 5y%5E3%2Ax%5E2 and 2y%5E3%2Aw%5E2 to get 10w%5E2y%5E6x%5E2



So lets multiply the outer terms:
5y%5E3%2Ax%5E2%2A3z=15zy%5E3x%5E2 multiply 5y%5E3%2Ax%5E2 and 3z to get 15zy%5E3x%5E2



So lets multiply the inner terms:
z%2A2y%5E3%2Aw%5E2=2zy%5E3w%5E2 multiply z and 2y%5E3%2Aw%5E2 to get 2zy%5E3w%5E2



So lets multiply the last terms:
z%2A3z=3z%5E2 multiply z and 3z to get 3z%5E2

Now lets put all the multiplied terms together
10w%5E2y%5E6x%5E2%2B15zy%5E3x%5E2%2B2zy%5E3w%5E2%2B3z%5E2


So the expression

%285y%5E3%2Ax%5E2%2Bz%29%282y%5E3%2Aw%5E2%2B3z%29

FOILs to:

10w%5E2y%5E6x%5E2%2B15zy%5E3x%5E2%2B2zy%5E3w%5E2%2B3z%5E2