SOLUTION: find each product: 1.(3y-1)(2y+7) 2. (4x-5)(2x+9) 3. (y-3)(y-3)

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Question 88875: find each product:
1.(3y-1)(2y+7)
2. (4x-5)(2x+9)
3. (y-3)(y-3)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
1.
Start with the given expression



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 and )
O-Outer (i.e. you multiply the outer terms in each parenthesis which in this case are and )
I-Inner (i.e. you multiply the inner terms in each parenthesis which in this case are and )
L-Last (i.e. you multiply the last terms in each parenthesis which in this case are and )


So lets multiply the first terms:
multiply and to get



So lets multiply the outer terms:
multiply and to get



So lets multiply the inner terms:
multiply and to get



So lets multiply the last terms:
multiply and to get

Now lets put everything together


So the expression



FOILs to:



-------------------------------------------------------------------------------

2.
Start with the given expression



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 and )
O-Outer (i.e. you multiply the outer terms in each parenthesis which in this case are and )
I-Inner (i.e. you multiply the inner terms in each parenthesis which in this case are and )
L-Last (i.e. you multiply the last terms in each parenthesis which in this case are and )


So lets multiply the first terms:
multiply and to get



So lets multiply the outer terms:
multiply and to get



So lets multiply the inner terms:
multiply and to get



So lets multiply the last terms:
multiply and to get

Now lets put everything together


So the expression



FOILs to:



-------------------------------------------------------------------------------

3.
Start with the given expression



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 and )
O-Outer (i.e. you multiply the outer terms in each parenthesis which in this case are and )
I-Inner (i.e. you multiply the inner terms in each parenthesis which in this case are and )
L-Last (i.e. you multiply the last terms in each parenthesis which in this case are and )


So lets multiply the first terms:
multiply and to get



So lets multiply the outer terms:
multiply and to get



So lets multiply the inner terms:
multiply and to get



So lets multiply the last terms:
multiply and to get

Now lets put everything together


So the expression



FOILs to:



-------------------------------------------------------------------------------

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