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# Binomial Expansion Calculator

Enter values for * X, Y,* and

*to for expansion of binomial term using binomial expansion calculator.*

**n**Table of Contents:

Binomial expansion calculator expands the binomial expression using binomial theorem. Enter required values and click the * Calculate* button to get the result with expansion using binomial theorem calculator.

## Binomial theorem - Definition/Formula

For any positive integer ** n,** the

*n*th power of the sum of two numbers

**and**

*a***may be expressed as the sum of**

*b***terms of the form.**

*n*+ 1The equation of binomial theorem is,

Where,

* n ≥ 0 *is an integer,

* (n, k)* is binomial coefficient.

The fully expanded form of higher exponents can also be calculated using the binomial expansion formula.

## Examples of Binomial theorem:

**Example:**

What is the expanded form of binomial expression (3 + 5)^4?

**Solution:**

**Step 1:** Expand the expression:

**Step 2:** Find the values of binomial coefficients:

**Step 3:** put the values of coefficients and solve:

The binomial theorem calculator gives the solution with steps.