Binomial theorem

The Binomial Theorem is a fundamental result in algebra that provides a formula for expanding expressions of the form \((a + b)^n\), where \(n\) is a non-negative integer. The theorem states that: \[ (a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k \] In this formula: - \(\sum\) denotes summation.