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)(2*x* – 3)

**Solution:**

(*x* + 1)(2*x* – 3)

**Multiply First** : *x* • 2*x* = 2 *x*^{2
}** Multiply Outside** :

(*x* + 1)(2*x* – 3)

= 2*x*^{2} – 3*x* + 2*x* – 3

= 2*x*^{2} – *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)

**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)

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