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In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power (x + y)n into a sum involving terms of the form a xb yc, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b. For example, The coefficient a in the term of a xb yc is known as the binomial coefficient or gives the number of different combinations of b elements that can be chosen from an n-element set.

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• Binomial theorem
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• In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power (x + y)n into a sum involving terms of the form a xb yc, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b. For example, The coefficient a in the term of a xb yc is known as the binomial coefficient or gives the number of different combinations of b elements that can be chosen from an n-element set.
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