Difference of Squares Calculator
How It Works
This difference of squares calculator uses established formulas to provide accurate results.
The basic rule:
- a² - b² = (a + b)(a - b)
- This pattern works in reverse for factoring
- The two binomials are called conjugate pairs
Results are estimates. Consult a professional for critical decisions.
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Explore Allday Everyday Math →Frequently Asked Questions
What is the difference of squares?
The difference of squares is a pattern: a² - b² = (a + b)(a - b). Any expression that is one perfect square subtracted from another can be factored this way.
How do I recognize a difference of squares?
Look for two terms separated by subtraction where both terms are perfect squares. Examples: x² - 9, 4x² - 25, 16 - y². The key is subtraction — a sum of squares (a² + b²) does not factor over the reals.
Can the difference of squares be applied more than once?
Yes. For example, x⁴ - 16 = (x² + 4)(x² - 4) = (x² + 4)(x + 2)(x - 2). Always check if the factors can be factored further.