# Binomial Expansion Calculator

Binomial Expansion Calculator is a free online tool that displays the expansion of the given binomial term BYJU’S online binomial expansion calculator tool makes the calculation faster, and it displays the expanded form in a fraction of seconds.

## How to Use the Binomial Expansion Calculator?

The procedure to use the binomial expansion calculator is as follows:
Step 1: Enter a binomial term and the power value in the respective input field
Step 2: Now click the button “Expand” to get the expansion
Step 3: Finally, the binomial expansion will be displayed in the new window

### What is Meant by Binomial Expansion?

In Algebra, a polynomial with two terms is called a binomial. The two terms are separated by either plus or minus symbol. The binomial theorem defines the binomial expansion of a given term. A binomial theorem is a mathematical theorem which gives the expansion of a binomial when it is raised to the positive integral power. Thus, the formula for the expansion of a binomial defined by binomial theorem is given as:

$$\begin{array}{l}(a+b)^{n}=\sum_{k=0}^{n}\begin{pmatrix} n\\ k \end{pmatrix}a^{n-k}b^{k}\end{array}$$