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What Does FOIL Mean in Math?

The term "FOIL" in mathematics refers to a common method for multiplying two binomials. A binomial is simply a polynomial with two terms, such as 3x - 10y. The FOIL method is often the quickest way to multiply binomials.

  1. Definition

    • The term "FOIL" is an acronym that stands for "First, Outter, Inner, Last." This term helps you remember the order of operations when multiplying binomials together.

    Identification

    • Whenever you see two terms in parenthesis like this -- (2x - 5y)(3x + 7y) -- you are dealing with binomials that must be multiplied. Notice how both sides have two terms.

    Function

    • To solve (2x + 2)(2y + 3), multiply 2x and 2y (First terms). Next, multiply 2x and 3 (Outer terms). Then, 2 times 2y (Inner terms). Finally, 2 times 3 (Last terms) would give you 4xy + 6x + 4y + 6.

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