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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

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

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