Divisors

[roufff]

Hi.

If n and n2 are integers and both > 1, then how to explain that 2ⁿ-1 divides into (2ⁿ)ⁿ²-1

Thanks.

 

[roufff]

n2 ain't squared. But how do I factor x^k - y^k where k is an integer, or how do I figure out?