Difference of Squares Worksheets

There are four sets of factoring quadratics worksheets:

• Factoring Quadratics (a = 1)
  
• Factoring Quadratics (a > 1)
  
• Factor Difference of Squares
  
• Factor Perfect Square Quadratics
  

Examples, solutions, videos, and worksheets to help Grade 6 and Grade 7 students learn how to factor difference of squares, ax² - c².

How to factor difference of squares?

There are three sets of factoring difference of squares worksheets.

• Factor Difference of Squares (a = 1).
• Factor Difference of Squares (a > 1).
• Factor Difference of Squares (two variables)

The difference of squares pattern applies when you have a perfect square a²2 minus another perfect square b². The pattern is useful for quickly factoring certain quadratic expressions.

Factoring the difference of squares involves factoring an expression in the form:
a² − b², where a and b are constants.
The difference of squares can be factored into two binomials. The factoring pattern for the difference of squares is:
a² − b² = (a+b)(a−b)

Here’s how to factor the difference of squares:

1. Identify the perfect squares in the expression and rewrite the expression is in the form:
   a² − b².
2. Write the factored form using the pattern
   a² − b² = (a+b)(a−b)

Example: Factor 16x² − 9

1. Identify the perfect squares and rewrite the expression as:
   (4x)² - 3²
2. Write in factored form
   (4x)² - 3² = (4x + 3)(4x - 3)

Example:

 

Have a look at this video, if you need to review how to factor the difference of squares.

• How To Factor Difference of Squares

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Difference of Squares Worksheets.

 

More Difference of Squares Worksheets

Printable
(Answers on the second page.)
Difference of Squares Worksheet #1 (a=1)
Difference of Squares Worksheet #2 (a>1)
Difference of Squares Worksheet #3 (two variables)

Online or Generated
Factor Binomials by Difference of Squares
Factor Perfect Square Trinomials

Difference of Squares or Quadratic Equations
Factor Different Types of Trinomials 1
Factor Different Types of Trinomials 2

Solve Trinomials using Quadratic Formula
Find Discriminants of Quadratic Polynomials

Related Lessons & Worksheets

Difference of Squares
Difference of Squares

More Printable Worksheets

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

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.