The FOIL method is used to multiply binomials. It involves finding the sum of the products of the first (F), outer (O), inner (I), and last (L) terms of each binomial. As an example, to multiply (x + 5) * (2x + 2): F terms are the product of the first terms, x * 2x = 2x^2 O terms are the product of the outer terms, x * 2 = 2x I terms are the product of the inner terms, 5 * 2x = 10x L terms are the product of the last terms, 5 * 2 = 10 The results are added to get the final product: 2x