GCSE Maths (AQA)

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Factorising the Difference of Two Squares

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Algebra Notation, Vocabulary and Manipulation

Factorising the Difference of Two Squares

5:06 Factorisation
Spec A1 A4
Previous Factorising Simple Quadratics Next Advanced Quadratics - Inspection Method
  • Quadratic expressions with only two terms can be factorized using the difference of two squares technique.
  • The identity for factoring a squared minus b squared is a plus b times a minus b.
  • The formula for expanding the double bracket is a squared minus b squared.
  • The general rule for factoring using the difference of two squares should be understood.
  • In the example x squared minus 49, a is equal to x and b is equal to 7.
  • The factorized form of x squared minus 49 is x plus 7, x minus 7.
  • In the example 25x squared minus 36, a is equal to 5x and b is equal to 6.
  • The factorized form of 25x squared minus 36 is 5x plus 6, 5x minus 6.

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