The Binomial Theorem

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Lesson Summary: 
The Binomial Theorem is a formula for determining the answer to $(x+y)^n$.
Lesson Inputs: 
The Factorial Function

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Lesson: 

The Binomial Theorem is a formula for determining the answer to <Sign in to see all the formulas> where $n$ is an integer and $x$ and $y$ are real numbers. It states that

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where each <Sign in to see all the formulas> is a positive integer called a Binomial Coefficient.

The formula for the Binomial Coefficient is

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where the $!$ denotes the Factorial Function. Finally, we use the language "n choose j" to refer to the Binomial Coefficent <Sign in to see all the formulas>.