Binomial Theorem/General Binomial Theorem

Theorem
Let $\alpha \in \R$ be a real number.

Let $x \in \R$ be a real number such that $\left|{x}\right| < 1$.

Then:

where:
 * $\alpha^{\underline n}$ denotes the falling factorial
 * $\dbinom \alpha n$ denotes a binomial coefficient.