In this video, we are going to look at how to multiply binomials. Some teachers teach this as FOIL (First, Outer, Inner Last).

For example:

To multiply we have to distribute twice.

When we distribute the *x* to the terms in the second binomial, we get and . When we distribute the 5 to both terms, we get and . So now we are left with

From here, we want to combine like terms, to give us a final answer of

After you finish this lesson, view all of our Pre-Algebra lessons and practice problems.

## Example of Multiplying Binomials

### Example 1

First, distribute the first term of the first equation to each term of the second equation.

Next, distribute the second term of the first equation to each term of the second equation.

So now we have

Let’s combine the like terms.

Our answer is

### Example 2

First, distribute the first term of the first equation to each term of the second equation.

Next, distribute the second term of the first equation to each term of the second equation.

So now we have

Let’s combine the like terms.

Our answer is

## Video-Lesson Transcript

In this lesson, we’re going to discuss how to multiply binomials.

For example:

We have multiplied by .

Here we have two two-term equation.

To multiply them, we have to distribute twice.

So, let’s multiply the first term of the first equation to the first term of the second equation then multiply the first term of the first equation to the second term of the second equation.

Then, do the same with the second term of the first equation.

Let’s have and .

Then, and .

So we have

Let’s combine like terms and our final answer is

Let’s have another example

First, let’s distribute the first term of the first equation to each term of the second equation.

Next, let’s distribute the second term of the first equation to each term of the second equation.

So now we have

Let’s combine the like terms.

Our answer is

To multiply binomials, you just have to distribute each term twice.