Divisibility proofs with identities

Divisibility proofs with identities

Secondary 2

4 marks

TGM Original Questions

Prove that \((5n+2)^2-(3n-2)^2\) is always even for every integer \(n\).[4]

Solution:

Solution locked

Sign in to view the step-by-step solution

Please join our E Math programme to search for similar questions for more practice.

Answer:The bracket is an integer when n is an integer, so the expression is even.

Need help? Join our JC Math tuition classes.