1 Multiply two binomials using FOIL methodTo multiply two binomials, find the sum of the products of F the first terms O the Outer terms I the Inner terms L the Last terms (x + 3)(x + 2) F L I O

2 Multiply two binomials using FOIL method(x + 3)(x + 2) F L F O I L = (x)(x) + (x)(2) + (3)(x) + (3)(2) = X2 + 2X + 3X + 6 = X2 + 5X + 6 I O

3 Multiply two binomials using the distributive property(x + 3) (x + 2) = x (x + 2) (x + 2) Distributive property = x(x) + x(2) + 3(x) + 3(2) Distributive property = x x x Multiply = x2 + 5x Combine like terms

4 Multiply two binomials using algebra tilesx + 2 x 1 1 x x2 x x =x2 + 3x + 2x + 6 =x2 + 5x + 6 x + 3 1 x 1 1 1 x 1 1 1 x 1 1