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.
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..
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.
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.
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.
For this example, we will not use FOIL, we will use our special rule!
Did you notice that the middle term is negative this time?
Still confused? Take a look at the video lesson for Example 2.
Let's quickly recap, and look at the definition for Squaring a Binomial. You might want to record this in your Algebra notes.
Are you ready to practice?
- Introduction to Polynomials (Definitions)
- Adding Polynomials
- Subtracting Polynomials
- Multiplying Polynomials
- Using the FOIL Method to Multiply Binomials
- Difference of Two Squares - "Special Binomials"
- Factoring Polynomials
Using the Greatest Common Factor (GCF)
- Factoring Polynomials by Grouping
- Factoring Trinomials
- Factoring Trinomials -Ax2+Bx+C
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