n n\,n is an integer. Prove algebraically that the sum of (n+3)(n+2)(n + 3)(n + 2)(n+3)(n+2) and n+3n + 3n+3 is always a square number. Give the square number in exact form.
207 exam-style questions on OCR GCSE Maths Proof. Each one has a worked solution and a mark scheme showing where the marks go.