Binomial Theorem

IMPORTANT

Mathematics Solutions from Chapter -1 - Binomial Theorem

This chapter covers topics such as Binomial Theorem for Positive Integral Index, Properties of Binomial Coefficients, Multinomial Theorem, Binomial Theorem for any Index, Series Involving Binomial Coefficients, General Term, etc.

Practice Other Topics from Binomial Theorem

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for Positive Integral Index

This topic covers concepts such as Binomial Theorem, Binomial Coefficient nCr, Conditions for Existence of nCr, Standard Binomial Theorem, Terminology Used in Binomial Theorem, General Observations in Standard Binomial Expansion, etc.

Mathematics>Algebra>Binomial Theorem>General Term, Middle Term and Greatest Term in Binomial Expansion

This topic covers concepts such as General Term in Standard Binomial Expansion, Finding the Coefficient of x^r in the given Binomial Expansion, Finding Coefficient of x^n in the Product of Two or More Expressions, etc.

Mathematics>Algebra>Binomial Theorem>Properties of Binomial Coefficients

This topic covers concepts such as Properties Related to nCr, Properties Related to nCr; nCr = nC(n-r), Properties Related to nCr; nCr = n/r. (n-1)C(r-1), Properties Related to nCr; nCx=nCy, and Properties Related to nCr; nC(r-1) + nCr = (n+1)Cr.

Mathematics>Algebra>Binomial Theorem>Series Involving Binomial Coefficients

This topic covers concepts such as Binomial Series, Use of Differentiation in Finding the Sum of Binomial Series, Use of Integration in Finding the Sum of Binomial Series, Use of Complex Numbers in Finding the Sum of Binomial Series, etc.

This topic covers concepts such as Multinomial Theorem, General Term in Multinomial Expansion, and Number of Terms in Multinomial Expansion.

Mathematics>Algebra>Binomial Theorem>Binomial Theorem for any Index

This topic covers concepts such as Binomial Theorem for Negative and Fractional Indices, General Term in Binomial Expansion with Negative and Fractional Indices, Some Useful Binomial Expansions with Negative Indices, and Binomial Approximation.