Prove that (4m+1)2−(4m−1)2(4m + 1)^2 - (4m - 1)^2(4m+1)2−(4m−1)2 is always a multiple of 16, for all positive integer values of mmm.
Practise Edexcel GCSE Maths Proof with exam-style questions for Foundation and Higher tier. 56 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 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.