Binomial theorem for a positive integral index

The Binomial Theorem is a formula that provides a way to expand expressions of the form: (a + b)^n where “n” is a positive integer and “a” and “b” are any real numbers. The formula is given by: (a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ……