ThmDex – An index of mathematical definitions, results, and conjectures.
Result R2788 on D2167: Binomial coefficient
Real binomial theorem
Formulation 0
Let $x, y \in \mathbb{R}$ each be a D993: Real number.
Let $n \in \mathbb{N}$ be a D996: Natural number.
Then \begin{equation} (x + y)^n = \sum_{m = 0}^n \binom{n}{m} x^m y^{n - m} \end{equation}