Binomial Theorem

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How to Expand Binomials

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Description

 

A detailed tutorial on the solving of problems using the binomial theorem. Stepby step tutorial including several examples of how to solve problems using the binomial theorem for reference.

 

Overview

 

The binomial theorem is something you should all be familiar with – it is the alternative to the F.O.I.L. technique. It is used when you are given a binomial that is raised to a power. The simplest version of it is expressed like this:

(x+y)^n=\sum_{k=0}^n{n \choose k}x^{n-k}y^{k}\quad\quad\quad(1)

This can also be expressed as a factorial notation, in the form:

{n \choose k}=\frac{n!}{k!\,(n-k)!}.
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