Binomial Theorem

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 = xn + nC1 x(n-1)y + nC2 x(n-2)y2 + ... + yn

nC1, nC2, ... , nCn 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.