# Binomial Theorem Examples

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Examples, videos, solutions, worksheets, games and activities to help Algebra II students learn about Pascal’s Triangle and the Binomial Theorem.

The following figure shows how to use Pascal’s Triangle for Binomial Expansion. Scroll down the page if you need more examples and solutions. Binomial Expansion Using Pascal’s Triangle
Example:
Expand the following Binomial using Pascal’s Triangle
(x + 3)4
(3x - 2)3

How to use Pascal’s Triangle for Binomial Expansion?
Example:
Expand the following using Pascal’s Triangle
(x - 4)5

The Binomial Theorem Using Pascal’s Triangle
How to expand a binomial raised to a power using the binomial theorem?
The combinations are evaluated using Pascal’s Triangle.
Example:
Expand (5x - 2)4

The Binomial Theorem Using Pascal’s Triangle
Example:
Expand (2x - 3y2)4

Pascal’s Triangle and the Binomial Coefficients
This video shows how one can use Pascal’s Triangle to quickly compute the binomial coefficients!

The Binomial Theorem and Pascal’s Triangle
How to find a binomial expansion using the Binomial Theorem and Pascal’s Triangle?
Example:
Use the Binomial Theorem and Pascal’s triangle to expand the expression:
(2g + h)3

The Binomial Theorem - Example 1
This video shows how to expand the Binomial Theorem, and do some examples using it.
Example:
Expand the following
(a + b)5
(x + 1)5
(3x - y)3

The Binomial Theorem - Example 2.
This video shows slightly harder example expanding using the Binomial Theorem.
Example:
Expand the following
(3x - y)3

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