What is a bionomial expansion?

Answer 1

A binomial expansion is a mathematical expression that represents the expansion of a binomial raised to a positive integer power, typically expressed as ((a + b)^n). The expansion is given by the Binomial Theorem, which states that it can be expressed as a sum of terms in the form (\binom{n}{k} a^{n-k} b^k), where (\binom{n}{k}) is the binomial coefficient. Each term corresponds to different combinations of (a) and (b) multiplied by the coefficient, and the expansion includes all integer values of (k) from 0 to (n). This theorem is widely used in algebra, probability, and combinatorics.