When multiplying two binomials, each term of the first binomial needs to get multiplied by each term in the second polynomial. Some people organize this process using the acronym "FOIL," which stands for First, Outside, Inside, Lasts. It is designed to make sure each term gets multiplied by each of the others. FOIL only works for two sets of two terms each, or two binomials. Don't forget to see if any terms can be combined (Usually, the middle two terms are "like terms" that should be combined.)
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