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Binomial Theorem




 
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More Lessons for Algebra, Math Worksheets

In this lesson, we will look at how to use the Binomial Theorem to expand binomial expressions.

Binomials are expressions that contain two terms such as (x + y) and (2 – x).

The Binomial Theorem states that

Note that:

1) The powers of a decreases from n to 0.

2) The powers of b increases from 0 to n.

3) The powers of a and b always add up to n.

Binomial Coefficient

In the expansion of (a + b)n, the (r + 1)th term is

Example:

Expand

a) (a + b)5

b) (2 + 3x)3

Solution:

Example:

Find the 7th term of

Solution:

Using the formula




Videos

The Binomial Theorem - Example 1
The Binomial Theorem - Example 2


 

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