#
Algebraic Identities

## Product Formulas: Binomial Formula

The general formula is given by the **Binomial Formula**:

where

is called the **Binomial Coefficient**. Recall that the **factorial** of the natural number *n* is given by

Putting the stuff together, we get

Note also that we have

## Factoring Formulas

which extends to the general formulas (the second formula only works for odd exponents n):

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