GCSE Maths (AQA)

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Proofs

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Algebra Notation, Vocabulary and Manipulation

Proofs

7:15 Identities and Proof
Spec A6
  • A proof is a sequence of logical arguments that determine if a statement is true or false
  • Tricks can be used to help with making proofs
  • Even numbers can be written as 2n, odd numbers can be written as 2n+1
  • Expanding and factorizing are useful techniques in proofs
  • Certain facts about odd and even numbers can be helpful
  • To prove a statement is always true, show that it works all the time
  • To prove a statement is false, find a counterexample
  • The sum of two prime numbers is not always even

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