Hello, I'm having trouble with an assigned problem, not really sure where to begin with it:
Prove that if a \in R and b \in R such that 0 < b < a, then {a}^{n} - {b}^{n} \le {na}^{n-1}(a-b), where n is a positive integer, using a direct proof.
Pointers or the whole proof would be appreciated...