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Factorising Algebraic Expressions - Difference of Two Squares

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Examples, solutions and videos to help GCSE Maths students learn how to factorise algebraic expression using the difference of two squares technique.

What is the Difference of Two Squares?
A difference of two squares is an expression of the form
a2 - b2

How to factorise the difference of two squares?
When we factorise the difference of two squares we get
a2 - b2 = (a + b)(a - b)

The following diagram gives some examples of how to factorise the difference of two squares. Scroll down the page for more examples and solutions.

Difference of Two Squares

What is the difference of two squares and how to factorise it?



Factorising GCSE Maths revision Higher level worked exam questions (quadratics and difference of two squares)
A Grade Level GCSE Maths The Difference of 2 Squares Factorisation Basics
Factorisation techniques for polynomials using a finding the highest common factor b difference of two squares and c perfect squares. The secret of success with factorisation or polynomials is to look for patterns that give clues about what technique to use. This video helps you to identify these patterns.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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