Algebraic Identities

Product Formulas: Binomial Formula


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The general formula is given by the Binomial Formula:

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where

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

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Putting the stuff together, we get

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Note also that we have

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Factoring Formulas


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

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