GCSE Secondary Maths Age 13-17 - Algebra: Proof - Explained

The video tutorial explains a common exam question involving proving an expression is even for all positive integers. The instructor demonstrates expanding and subtracting brackets, simplifying the expression, and proving its evenness. An alternative method using the difference of squares is mentioned, along with the marking scheme for the solution.

Describe the importance of collecting like terms in the expansion process.

What alternative method could be used to solve the problem more quickly?