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

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