SOLUTION: please use foil to find each product (2x-5y)(x+y) the university of phoenix elementary and intermediate algebra

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Question 93387: please use foil to find each product (2x-5y)(x+y) 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

%282x-5y%29%28x%2By%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 2x and 2x)
O-Outer (i.e. you multiply the outer terms in each parenthesis which in this case are 2x and -5y)
I-Inner (i.e. you multiply the inner terms in each parenthesis which in this case are -5y and 2x)
L-Last (i.e. you multiply the last terms in each parenthesis which in this case are -5y and -5y)


So lets multiply the first terms:
2x%2Ax=2x%5E2 multiply 2x and x to get 2x%5E2



So lets multiply the outer terms:
2x%2Ay=2yx multiply 2x and y to get 2yx



So lets multiply the inner terms:
-5y%2Ax=-5yx multiply -5y and x to get -5yx



So lets multiply the last terms:
-5y%2Ay=-5y%5E2 multiply -5y and y to get -5y%5E2

Now lets put all the multiplied terms together
2x%5E2%2B2yx-5yx-5y%5E2

Now combine like terms

2x%5E2-3yx-5y%5E2

So the expression

%282x-5y%29%28x%2By%29

FOILs to:

2x%5E2-3yx-5y%5E2