Prove that (2n+k)2−(2n−k)2(2n + k)^2 - (2n - k)^2(2n+k)2−(2n−k)2 is always a multiple of 8k8k8k, for all positive integer values of n n\,n and kkk.
207 exam-style questions on OCR GCSE Maths Proof. Each one has a worked solution and a mark scheme showing where the marks go.