Subject:  Precalculus

Binomial theorem

A formula that expands (a + b)ⁿ as a sum of terms with binomial coefficients.

The binomial theorem states (a + b)ⁿ = Σ C(n, k)·a^(n−k)·b^k for k from 0 to n. The coefficients C(n, k) — the binomial coefficients — are the entries of Pascal's triangle.

Formula

(a + b)ⁿ = Σ C(n, k)·a^(n−k)·b^k

See also