Hello all! This isn't a problem in particular I'm having trouble with, but a much more general question about the binomial theorem. I'm using Stewart's precal book. The section devoted to the theorem has several problems dealing with proving different aspects of it, mostly having to do with the coefficients. I've been busting my head on these problems today, but the question is, should I be? I always try to intuitively grasp the topics we cover, but as far as I can tell, the binomial theorem is not incredibly deep. It seems like nothing much more than a convenient way to raise numbers to different powers, at least at this level. Am I wasting energy? Sorry if my question is a little vague!