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The FOIL method helps you remember how to multiply each term in one ____________ by each term in the other ____________.

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Answer:

The FOIL method lets you multiply two binomials in a particular order. You don't have to multiply binomials by following the FOIL order, but it does make the process easier. The letters in FOIL refer to two terms (one from each of two binomials) multiplied together in a certain order: First, Outer, Inner, and Last.

Step-by-step explanation:

The FOIL method helps you remember how to multiply each term in one binomial by each term in the other binomial.

What is FOIL method?

FOIL is the standard method of multiplying two binomials.

The word FOIL is an acronym for the four terms of the product:

  • First (“first” terms of each binomial are multiplied together)
  • Outer (“outside” terms are multiplied—that is, the first term of the first binomial and the second term of the second)
  • Inner (“inside” terms are multiplied—second term of the first binomial and first term of the second)
  • Last (“last” terms of each binomial are multiplied)

We try to explain this using an example.

[tex]= (2x+1)(3x+ 5)\\\\=(2x * 3x) + (2x * 5) + (1* 3x) + (1 *5)\\\\= 6x^{2} + 10x + 3x + 5\\\\= 6x^{2} + 13x + 5[/tex]

Learn more about FOIL method here

https://brainly.com/question/27785127

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