Binomial theorem

7 videos
1 skill
You can keep taking the powers of a binomial by hand, but, as we'll see in this tutorial, there is a much more elegant way to do it using the binomial theorem and/or Pascal's Triangle.

Binomial theorem

VIDEO 13:15 minutes

Pascal's triangle for binomial expansion

VIDEO 8:20 minutes

Determining coefficient in binomial expansion

VIDEO 8:41 minutes

Binomial theorem

PRACTICE PROBLEMS

Intuitive connection between binomial expansion and combinatorics

VIDEO 4:15 minutes

Connecting Pascal's triangle to binomial combinatorics

VIDEO 4:06 minutes

Algorithm for mentally computing binomial expansion coefficients

VIDEO 4:59 minutes

Binomial theorem combinatorics connection

VIDEO 11:59 minutes
Intuition behind why binomial expansion involves combinatorics