Binomial Theorem

In this lesson, we will look at the Binomial Theorem.

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 7^th term of

Solution:

Using the formula

Videos

Using the binomial theorem -
Professor Edward Burger explains using the binomial theorem

Binomial coefficients -
Professor Edward Burger explains binomial coefficients

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