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Saturday, 25 February 2012

Binomial Theorem

Binomial Expression: An algebraic expression consisting of two terms with a positive or negative sign between them. Example: (x+y)
The expansion of binomial expression raised to power n is called Binomial Theorem.
{(x + y)^n = x^n + ^nC_1x^{n-1}y + ^nC_2x^{n-2}y^2 + \dots + y^n}
^nC_1, ^nC_2, \dots , ^nC_n are Binomial Coefficients.
Points to Note:
  1. There are total of (n+1) terms in the expansion.
  2. In each term, sum of the indices of x and y is equal to n.

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