# Multiplying Binomials

### By Colleen Turner and Garrett Warnock

**What Is A Binomial?**

Two terms joined by a plus or minus sign and they are used in algebra

**Example**

(ax+b)(cx-d)

(3x+7)(7x-3)

**The Foil Method**

F- first

O- outside

I- inside

L- last

So you multiply the 2 first terms in each set of parentheses, then you multiply the 2 outside terms in each set of parentheses together, then you multiply the 2 inside terms in each set of parentheses together and then you multiply the 2 last terms in each set of parentheses and you add all these together.

3x (7x) + 3x (-7) + 7 (7x) + 7 (-3)

first outside inside last

It's basically like the distributive method.

Multiplying Binomials

FOIL Song