The FOIL Method

In this lesson, we will look into how to use the FOIL method to distribute two binomials.

Most Algebra books describe FOIL as a method of multiplying two binomials.
FOIL is the acronym for
First
Outside
Inside
Last

Example:

Multiply the binomials (x + 1)(2x – 3)

Solution:

(x + 1)(2x – 3)

Multiply First : x • 2x = 2 x²
Multiply Outside : x • (–3) = –3x
Multiply Inside : 1 • 2x = 2x
Multiply Last : 1 • (–3) = –3

(x + 1)(2x – 3)
= 2x² – 3x + 2x – 3
= 2x² – x – 3

The following diagram shows how to use the FOIL method to distribute or multiply two binomials. Scroll down the page for more examples and solutions.

 

Multiplying Binomials FOIL Method
Multiplying binomials using the FOIL method. Explanation and examples.
(a + 3)(a + 7)
(x + 3)(x - 5)
(2x + 4)(3x + 5)

How to Use Foil to Distribute Two Binomials?
This video will show you how to use foil to distribute two binomials.
(x + 3)(x + 2)
(x + 4)(x - 5)
(x - 2)(x - 6)

• Show Video

FOIL Method for Multiplying Binomials - Distributive Property
In this video, we use the FOIL method to multiple binomials. FOIL helps you make sure all terms are distributed. (a+b)(c+d)
(x + 2)(3x - 7)

• Show Step-by-step Solutions

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.