Expand and simplify
(n+1)2−n2. (n+1)^2-n^2. (n+1)2−n2.Hence, prove that for any two consecutive integers n n\,n and n+1n+1n+1, the ordered difference between their squares,
(n+1)2−n2, (n+1)^2-n^2, (n+1)2−n2,is equal to the sum of these integers.
207 exam-style questions on OCR GCSE Maths Proof. Each one has a worked solution and a mark scheme showing where the marks go.