The Binomial Theorem (Jump to: Lecture  Video )
In a previous lecture, we talked about Pascal's Triangle.
Pascal’s triangle can be used to expand any similar binomial.
The Binomial Theorem 
The binomial theorem gives us a method for expanding binomials:
If n is a nonnegative integer, then

Let's try to expand a binomial using the binomial theorem:
Here, we have a binomial that will have six terms (remember that the number of terms is equal to the degree + 1).
We solve for our expansion, term by term, below:
Here, we arrive at our final answer: