Binomial theorem

Discover the beauty and power of the binomial theorem in algebra. Learn how this fundamental concept can simplify complex equations and solve mathematical problems with ease.
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Class XI Chapter On Binomial Theorem | PDF | Complex Analysis | Algebra

Class XI Chapter on Binomial Theorem - Free download as PDF File (.pdf), Text File (.txt) or read online for free. .01) + 1000000 C2(0.01)2 + ... 1) The document discusses the binomial theorem, which provides a formula for expanding binomial expressions of the form (a + b)n for positive integer values of n. 2) The binomial coefficients that appear in the expansion can be determined from Pascal's triangle. The binomial theorem states that (a + b)n = Σnk=0(nCkakbn-k) 3) Some special cases of…

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Binomial Theorem for any Index

Binomial Theorem for any Index Binomial theorem for positive integral index The rule by which any power of binomial can be expanded is called the binomial theorem. If n is a positive integer and x, y ∈ C then Binomial theorem for any Index Statement : when n is a negative integer or a fraction, where […]

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Wikiwand - Binomial theorem

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 polynomial (x + y)n into a sum involving terms of the form axbyc, 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, for n = 4,

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