Struggling with yet another proof:
Prove that, for any positive integer n: (a + b)n >= an + bn for all a, b > 0:
I wasted 3 pages of notebook paper on this problem, and I'm getting nowhere slowly. So I need some hints.
- What technique would you use to prove this (e.g. induction, direct, counter example)
- Are there any tricks to the proof? I've seen some crazy stuff pulled out of nowhere when it comes to proofs...