Binomial Expansion Calculator

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 nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.

The 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.