Chapter A.2, Problem 9E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 7 to 12, simplify by using the FOIL method of multiplication.*

To determine

**To multiply:**

Explanation

**Approach:**

In elementary algebra, FOIL** **is a mnemonic for the standard method of multiplying two binomials^{ }hence the method may be referred to as the FOIL method. The word FOIL is an acronym for the four terms of the product:

1) **F**irst ("first" terms of each binomial are multiplied together)

2) **O**uter ("outside" terms are multiplied—that is, the first term of the first binomial and the second term of the second)

3) **I**nner ("inside" terms are multiplied—second term of the first binomial and first term of the second)

4) **L**ast ("last" terms of each binomial are multiplied)

The general form is:

**Calculation:**

Given:

Now we have to simplify by using the FOIL method of multiplication.

By using the FOIL method, we multiply the first, outside, inside, and the last element of each bracket and we add them.

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