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Mathematics-Online course: Basic Mathematics - Combinatorics | ||

## Binomial Theorem |

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The binomial identity provides explicit expressions for integral powers of a sum of two variables:

for all .

In particular, for , the formula yields

(Authors: Kimmerle/Abele)

The binomial theorem can be proved via mathematical induction.

For and the equation holds because of

Let us now assume that
the equation holds for . This yields

(Authors: Kimmerle/Abele)

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automatically generated 10/31/2008 |