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More Lessons for Grade 9

Math Worksheets

Videos, worksheets, solutions, and activities to help Algebra 1 students learn how to factor the difference of squares.

**What is Difference of Two Squares?**

A binomial in the form a^{2} - b^{2} is called the difference of two squares.

**How to factor a Difference of Two Squares?**

a^{2} - b^{2} = (a + b)(a - b)

**Factor the Difference of Two Squares**

This math lesson covers how to factor the difference of two squares by recognizing the pattern a^{2} - b^{2} = (a + b)(a - b). A simple example is provided. A second, extended example includes a multi-step factoring problem.

Example 1: Factor 4x^{2} - 9y^{2}

Example 2: Factor 5x^{3} - 45x

**Difference of Two Squares**

Students learn that a binomial in the form a^{2} - b^{2} is called the difference of two squares, and can be factored as (a + b)(a - b).

Example: x^{2} - 144
**Factoring Difference of Squares**

Factor:

x^{2} - 25

16a^{2} - 81

5r^{2} - 20
**Factoring difference of squares**

Factor:

x^{2} - 49

a^{2} - 64

4c^{2} - 16

25m^{2} - 36

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 9

Math Worksheets

Videos, worksheets, solutions, and activities to help Algebra 1 students learn how to factor the difference of squares.

A binomial in the form a

a

This math lesson covers how to factor the difference of two squares by recognizing the pattern a

Example 1: Factor 4x

Example 2: Factor 5x

Students learn that a binomial in the form a

Example: x

Factor:

x

16a

5r

Factor:

x

a

4c

25m

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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