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# Binomial Theorem

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Author: Shirley Beil

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Tutorial

The following video will be available with closed captioning at:

http://youtu.be/85g6YVb4_po

## Calculating a Binomial Coefficient Using the Factorial Definition

The following video will be available with closed captioning at:

http://youtu.be/sEm5O9_OBNg

## Using Pascal's Triangle to Expand a Binomial Power

Caution - In the last step of the third problem I multiplied 3x35 and got 115 instead of 105. Therefore, the 4th term in the expansion should have been 105sqrt(3). The simplified form of the final expansion should be 568+328sqrt(3)

The following video will be available with closed captioning at:

http://youtu.be/wp8QTJUoJzk

## Binomial Expansions Using the Binomial Theorem

Note that the terms in the first expansion alternate from positive to negative! Terms 2, 4, and 6 have negative coefficients (I said terms 2,3, and 4).
Also in the third example I say that "we will be subtracting h" when I should have said "we will be dividing by h".

The following video will be available with closed captioning at:

http://youtu.be/TbT6Ah0sBag