Prove that (2n+3)2−(2n−3)2(2n + 3)^2 - (2n - 3)^2(2n+3)2−(2n−3)2 is always a multiple of 12, for all positive integer values of nnn.
Practise Oxford AQA IGCSE Maths Proof with exam-style questions for Core and Extended tier. 14 questions, matched to the Oxford AQA IGCSE Maths (9260) specification and written in Paper 1 and Paper 2 (Core: 1C and 2C; Extension: 1E and 2E) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.