Maths IIT JEE Mains Study Material for Binomial Theorem
Binomial Theorem: IIT JEE Mains Study Material
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Maths IIT JEE Mains Study Material for Binomial Theorem Theory Notes Include Binomial Theorem Binomial Expression, Statement of Binomial Theorem, Coefficients of equidistant terms from beginning and end, Greatest Binomial Cofficient, General term of expansion, Middle term of the expansion, To Determine a Particular Term in the Expansion, From above formula, Binomial Coefficient & Their Properties, sum of coefficient : putting x = 1 in (1), we get, Sum of coefficients with alternate signs : putting x = – 1in (1), Sum of products of coefficients : Replacing x by 1/x in (1) We get, Sum of squares of coefficients : putting r = 0 in (6), adding (2) and (9), Integrating (1) w.r.t. x between the limits 0 to 1, we get, The value of, Numerically Greatest term of Binomial Expansion, Binomial Theorem for any Index, General Term, Some Important Expansions, Number of Terms in the Expansion of ( x + y + z)n, Some Important Results, Solved Examples,
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