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The Square of a BinomialIn 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
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..
Now let's take a look at Example 1 and find the product using our special rule. Example 1 Using the 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. Example 2For this example, we will not use FOIL, we will use our special rule!
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
Are you ready to practice?
Practice Problems
Answer KeyProblem 1
Problem 2
Polynomials Unit |
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