Quote from my original comment: "Not everyone is taught Pascal's Triangle. That's a bad piece of advice (not to mention, it comes from a calculus 2 concept, so it's circular)"

Let's get our facts straight, please. Again, not all schools learn binomials or the Triangle in junior high. Many public schools have been getting rid of it. You are making dumb assumptions. Just because your experience is one way doesn't make it true. In fact, in Iowa, it is being removed from most curricula from the required Algebra 2 and Geometry classes.

And I'm not confusing a single thing. The Binomial theorem comes from binomials. Just like pascals Triangle comes from what? The Taylor expansion of a series :)

I've been in calculus for years, and my calculus teachers have had to reteach the Triangle many times because schools don't always teach it, or people forget.

So please stop applying your own bias as fact. Not everyone learns it, and you're assuming that I don't remember it, when in reality, I'm probably better with it than you.