# Binomial Theorem

Consider the following binomial expressions,

Now, the expansion becomes complex when we want to find, for example, $(x + y)^{15}$. So, we need a better alternative. This is where the binomial theorem comes in.

That is, a binomial theorem is a mathematical formula for expanding the binomial expression of the form $(x + y)^n$, for positive values of $n$. The formula is given by

The above expression can be rewritten as;

Guide:

1. Review Binomial Theorem in your textbook.