What is binomial theorem used for?

The binomial theorem is used to expand expressions raised to a power, specifically in the form of ((a + b)^n), where (n) is a non-negative integer. It provides a formula for expressing the expansion as a sum of terms involving coefficients, powers of (a), and powers of (b). This theorem is widely applied in algebra, probability, and combinatorics, helping to simplify calculations and analyze polynomial expressions. Additionally, it is foundational for deriving results in areas such as statistical distributions and series expansions.