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» » Special Binomials

The Square of a Binomial


In this lesson, we will discover a special rule that can be applied when you square a binomial.


In our last method, we studied the FOIL method for multiplying binomials. We can still apply the FOIL method when we square binomials, but we will also discover a special rule that can be applied to make this process easier. Let's take a look at Example 1.


Example 1


squaring a binomial


Let's take a look at a special rule that will allow us to find the product without using the FOIL method.


The square of a binomial is the sum of: the square of the first terms, twice the product of the two terms, and the square of the last term.

I know this sounds confusing, so take a look..

squaring a binomial formula





If you can remember this formula, it you will be able to evaluate polynomial squares without having to use the FOIL method. It will take practice.


Now let's take a look at Example 1 and find the product using our special rule.


Example 1 Using the Special Rule


Squaring a binomial



If that was confusing for you, take a look at the following video where we will simplify using the FOIL Method and our new special rule.



youtube channel If you want to see this example on video, click here to visit my You Tube channel.


Now let's take a look at another example. This time we are going to square a binomial, but this binomial will contain a subtraction sign.


Example 2


For this example, we will not use FOIL, we will use our special rule!

Squaring a binomial example

Did you notice that the middle term is negative this time?




Still confused? Take a look at the video lesson for Example 2.



youtube channel If you want to see this example on video, click here to visit my You Tube channel.


Let's quickly recap, and look at the definition for Squaring a Binomial. You might want to record this in your Algebra notes.


Squaring a Binomial

squaring a binomial rules

Are you ready to practice?



Practice Problems



squaring a binomial practice problem







Answer Key


Problem 1


squaring a binomial solution



Problem 2


squaring a binomial solutions


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