Binomial Theorem

The Binomial Theorem provides a way to expand expressions like $(a + b)^n$, where \( n \) is a positive integer. It shows that this expansion can be written as a sum of terms, each involving a combination of powers of \( a \) and \( b \). The coefficients come from binomial coefficients, which count combinations of choosing items, and are found in Pascal’s triangle. Essentially, the theorem offers a systematic formula to expand powers of a sum efficiently, revealing the structure and relationships between the terms in the expansion.