x x\,x is an integer. Show algebraically that adding x+7x + 7x+7 to the product (x+7)(x+6)(x + 7)(x + 6)(x+7)(x+6) always results in a square number.
Practise AQA GCSE Maths Proof with exam-style questions for Foundation and Higher tier. 56 questions, matched to the AQA GCSE Maths (8300) 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.