FSQE - Difference of Squares (Lesson)

Difference of Squares

The last method of factoring we want to explore is a special pattern called difference of squares.  

a² - b² = (a + b)(a - b)

When both terms of quadratic expression are perfect squares & the terms are being subtracted, you can use this factoring pattern. Here are a few examples: 

There may be times when you have to factor out a GCF:

3x² - 75 = 3(x² - 25) = 3(x + 5)(x - 5)

Let's try a few examples with a higher degree:

Difference of Squares and Factoring Practice

1. x² - 81
2. 9x² - 25
   
3. -2x² + 8
   
4. x³ - 64x
   
5. 3x² - 3
   
6. x⁴ -6x² +8

TO VIEW THE SOLUTIONS ONCE YOU HAVE PRACTICED, CLICK HERE. Links to an external site.

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