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More Lessons for Grade 11

Math Worksheets

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 - 3y^{2})^{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}

More Lessons for Grade 11

Math Worksheets

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.

Example:

Expand the following Binomial using Pascal's Triangle

(x + 3)

(3x - 2)

Example:

Expand the following using Pascal's Triangle

(x - 4)

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)

Example:

Expand (2x - 3y

This video shows how one can use Pascal's Triangle to quickly compute the binomial coefficients!

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)

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)

(x + 1)

(3x - y)

The Binomial Theorem - Example 2.

This video shows slightly harder example expanding using the Binomial Theorem.

Example:

Expand the following

(3x - y)

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