Binomial Theorem | All Formulas in 20 Mins | Math | JEE 2025 Preparation | @InfinityLearn-JEE

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The binomial theorem was first mentioned in the 4th century BC by Euclids, a great Greek mathematician. The binomial theorem explains how to expand the algebraic statement (x + y)n to a sum of terms using individual exponents of variables x and y. A numeric value called coefficient is assigned to each term in a binomial expansion.

Properties of Binomial Theorem:
➜The number of coefficients in the binomial expansion of (x + y)n is equal to (n + 1).
➜There are (n+1) terms in the expansion of (x+y)n.
➜The first and the last terms are xn and yn
➜From the beginning of the expansion, the powers of x, decrease from n up to 0, and the powers of a, increase from 0 up to n.

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