SOLUTION: (3a+4)(2a-1)

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Question 1086998: (3a+4)(2a-1)
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Distribute (3a+4) through the (2a-1):


Other tutors have chastised me for not mentioning F.O.I.L. (on a different website), so here it is: F.O.I.L. stands for First, Outer, Inner, Last and is supposed to help you remember the terms to multiply when multiplying two binomials:
%0D%0A%283a%2B4%29%282a-1%29+=+6a%5E2+-+3a++%2B+8a+-+4++=+6a%5E2+%2B+5a+-+4+%0D%0A
               F   O   I   L

I am NOT a big fan of memorization tricks and so I don't find F.O.I.L. to be valuable. For example, when it comes to trinomials, F.O.I.L. does not have any value. As an alternative, I just think "every term in one polynomial needs to be multiplied by every term in the other," and that works for all cases.

A 3rd method is to use a temporary variable (I let K=3a+4 then distribute K then substitute back in for K: