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...