A technique for distributing two binomials. The letters FOIL stand for irst, uter, nner, ast. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
FOIL is an acronym that stands for irst, uter, nner, ast. It refers to a method of multiplying two binomials, like (ax + b)( cx + d). To multiply, you must multiply each term out, including the first terms (ax times cx), the inner terms (b times cx), the outer terms (ax times d), and the last terms (b times d). For example, (2x + 3)( 4x + 5) = 8x2 + 10x + 12x + 15 = 8x2 + 22x + 15.