A binomial is an expression with two terms,eg (3n+6). We often raise this to a power of, say, 6 or 7, and binomial expansion is determining what the result will be. This is incrediably useful as it allows us to calculate things such as Taylor Polynomials which allow calculators to work.
Video on factorals and how to calculate things such as 7! This is the first video designed to building up to binomial expansion.