Formula
$$ (x + y)^n = \sum_{k=0}^n \binom{n}{k} x^{n-k} y^{k} $$
$$ \binom{n}{k} = \dfrac{n!}{k!\,(n-k)!} $$
$$ \binom{n}{k} = \dfrac{n!}{k!\,(n-k)!} $$
Binomial expansion, binomial coefficients, Pascal's triangle, and applications to polynomial algebra.
Created: December 15, 2025