Binomial Theorem

(a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k}b^k

Description

Expands the power of a binomial expression.

Variables

Symbol	Meaning
`a, b`	Terms in binomial
`n`	Power/exponent
`k`	Summation index

Example

Problem

Expand (x+y)³

Solution

x³ + 3x²y + 3xy² + y³

Real-World Applications

Probability theory
Combinatorics
Algebra