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Module 1: The binomial theorem

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The binomial expansion

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XSIQ
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Intermediate Mathematics - The binomial expansion

The binomial expansion

For_ n_ a positive integer, the Binomial Theorem states

In general terms the rth coefficient is written

and represents the number of ways of choosing r objects from a total of n
objects.

The rth term in the expansion is

This formula gives the binomial coefficients seen in Pascal's Triangle
above. Your calculator will calculate the coefficients for you. However it
is wise to be able to calculate them manually as well.

For example:

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