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binomial theorem
[binomial theorem|binomial theorem] is defined as ( x + y ) n = ∑ k = 0 n ( n k ) x n − k y k and can be used to expand any binomial.
Definition
binomial theorem is defined as ( x + y ) n = ∑ k = 0 n ( n k ) x n − k y k and can be used to expand any binomial.
Mechanism
binomial theorem evaluates expressions by applying the formula to expand binomials raised to powers, such as ( 3 x + 1 2 y ) 6 .
Effects
binomial theorem cannot expand expressions with more than two terms. It leads to patterns used in expanding binomials, which result in specific coefficient distributions.