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.
