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Binomial Theorem

Binomial Theorem

A method for distributing powers of binomials as shown below.


Formula:		 Binomial Theorem formula: (a+b)^n = C(n,0)a^n + C(n,1)a^(n-1)b + … + C(n,n)b^n = sum k=0 to n of C(n,k)a^(n-k)b^k
Example:

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

The coefficients are from the fourth row of Pascal's Triangle as shown below.

  

 

See also

Binomial coefficients, binomial coefficients in Pascal's Triangle, sigma notation