SOLUTION: Use the FOIL method to simplify the binomials. (y-3) (2y^3-4y+5) show all work

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Question 913411: Use the FOIL method to simplify the binomials.
(y-3) (2y^3-4y+5)
show all work
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
FOIL method would be more of a chore than just using a lattice approach, since one of the factors has three terms. FOIL is generally applied to multiplying two binomials. You have a binomial multiplied by a TRINOMIAL.

FOIL is an acronym for FIRST, OUTER, INNER, LAST.

Really wanting FOIL, then try an association:

%28y-3%29%28%282y%5E3-4y%29%2B5%29
F: y%282y%5E3-4y%29=2y%5E3-4y%5E2
O: 5y
I: -3%282y%5E3-4y%29=-6y%5E3%2B12y
L: -3%2A5=-15

Putting the pieces into a sum,
2y%5E3-4y%5E2%2B5y-6y%5E3%2B12y-15
which you should be able to simplify.



(....YES)