GCSE Maths (Edexcel)

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Algebra Notation, vocabulary and manipulation

Expanding Squared Brackets

5:01 use and interpret algebraic manipulation, including: ab in place of a × b 3y in place of y + y + y and 3 × y a² in place of a × a, a³ in place of a × a × a, a²b in place of a × a × b a/b in place of a ÷ b coefficients written as fractions rather than as decimals brackets
Spec A1
Previous Integer Limits of Accuracy Next Algebraic Variables, Terms & Expressions
  • When a bracket is squared, it can be expanded using the identity: a plus b all squared equals a squared plus 2ab plus b squared.
  • The FOIL method can be used to expand double brackets.
  • When a minus sign is used instead of a plus sign, the expansion becomes: a minus b all squared equals a squared minus 2ab plus b squared.
  • The two middle terms can be collected together in both cases.
  • Examples are given to practice expanding squared brackets.
  • The expanded form of x plus 5 all squared is x squared plus 10x plus 25.
  • The expanded form of three x minus two all squared is 9x squared minus 12x plus 4.

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310

questions for Algebra

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questions for Notation, vocabulary and manipulation