Consider the following statements: 1. `a^n+b^n` is divisible by `a+b\ if\ n=2k+1,` where `k` is a positive integer. 2. `a^n-b^n` is divisible by `a-b\ if\ n=2k ,` where `k` is a positive integer. Which of the statements given above is /are correct? (a) 1 only (b) 2 only (c) both 1 and 2 (d) Neither 1 nor 2