# The Binomial Theorem

Related Topics:
More Lessons for Intermediate Algebra
More Lessons for Algebra
Math Worksheets

A series of free, online Intermediate Algebra Lessons or Algebra II lessons.
Videos, worksheets, and activities to help Algebra students.

In this video, we will learn

• how to use the Pascal's Triangle
• how to use the Binomial Theorem and Pascal's Triangle to expand a binomial expression

### Pascal's Triangle

Pascal's triangle is a geometric arrangement of the binomial coefficients in the shape of a triangle. In Pascal's triangle, each number in the triangle is the sum of the two digits directly above it. In Algebra II, we can use the binomial coefficients in Pascal's triangle to raise a polynomial to a certain power.
How to use Pascal's triangle.

### Binomial Theorem

In Algebra II, the binomial theorem describes the explanation of powers of a binomial. When expanding a binomial, the coefficients in the resulting expression are known as binomial coefficients and are the same as the numbers in Pascal's triangle. By using the binomial theorem and determining the resulting coefficients, we can easily raise a polynomial to a certain power.
This video explains binomial expansion using Pascal's triangle.
Expanding Binomial Expressions with Pascal's Triangle (Part 1) Expanding Binomial Expressions with Pascal's Triangle (Part 2)

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.