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Algebraic Methods

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Question 63

Given that k k\,k is an integer, prove that (kn+3)2−(kn−3)2(kn + 3)^2 - (kn - 3)^2(kn+3)2−(kn−3)2 is a multiple of 6 for all integer values of nnn, expressing the multiple in terms of k k\,k and nnn

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Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.

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