Express n3−4nn^3 - 4nn3−4n as a product of three factors.
Given that n n\,n is a positive integer, prove that n3−4nn^3 - 4nn3−4n is a multiple of 3
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.