Learning Objectives:

__Math Tutoring on Factoring a Difference of Squares__

To **factor **quadratics, the formula that is introduced is the **"Difference of Squares" formula**. In mathematics, the **difference of two squares** is a squared (multiplied by itself) number subtracted from another squared number. Every **difference of squares** problem can be **factored** as follows: **a² – b² = (a + b)(a – b) or (a – b)(a +b).**

So, all you need to do to **factor** these types of problems is to determine what numbers squares will produce the desired results. Determine if the **remaining factors** can be **factored** any further. Here are the steps required for **factoring a difference of squares **and are followed in math tutoring**: **

**Step 1:** Decide if the four terms have anything in common, called the **greatest common factor **or** GCF.** If so, **factor** out the **GCF**. Do not forget to include the **GCF **as part of your final answer.

**Step 2:** Every **difference of squares** problem can be **factored** as follows:

**a****²**** – b****²**** = (a + b)(a – b) or (a – b)(a + b). **

So, all you need to do to **factor** these types of problems is to determine what numbers squares will produce the desired results.

**Step 3:** Determine if the remaining **factors** can be factored any further.

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**Hook Questions**:

*1. **What is the definition of the difference of two squares?*

*2. **What are the steps required for factoring a difference of square?*

*3. **What is a trinomial square?*

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