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The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
Binomial Theorum
A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.
The first two terms in a binomial expansion that aren't 0
Binomial Expansion makes it easier to solve an equation. It brings an equation of something raised to a power down to a solveable equation without parentheses.