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Binomial Theorem

Binomial theorem for positive integers

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The binomial theorem for positive integers can be expressed as

(x + y)n = xn + n xn-1 y + n ((n - 1) / 2!) xn-2 y2 + n ((n - 1)(n - 2) / 3!) xn-3 y3 + .... + n x yn-1 + yn                 (1)

In mathematics the binomial theorem is important as an equation for expansion of powers of sums.

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