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Grade 7 Math 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, ax^{2} - c^{2}.

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 a^{2}2 minus another perfect square b^{2}. The pattern is useful for quickly factoring certain quadratic expressions.

Factoring the difference of squares involves factoring an expression in the form:

a^{2} − b^{2}, 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:

a^{2} − b^{2} = (a+b)(a−b)

Here’s how to factor the difference of squares:

- Identify the perfect squares in the expression and rewrite the expression is in the form:

a^{2}− b^{2}. - Write the factored form using the pattern

a^{2}− b^{2}= (a+b)(a−b)

Example: Factor 16x^{2} − 9

- Identify the perfect squares and rewrite the expression as:

(4x)^{2}- 3^{2} - Write in factored form

(4x)^{2}- 3^{2}= (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**.

**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

Difference of Squares

Difference of Squares

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