# Difference of Squares Worksheets

There are four sets of factoring quadratics worksheets:

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.

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
Difference of Squares Worksheet #1 (a=1)
Difference of Squares Worksheet #2 (a>1)
Difference of Squares Worksheet #3 (two variables)

More Printable Worksheets

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