Created by Kuldeep Yadav | Last updated 6/2021
Duration: 1h 1m | 6 sections | 19 lectures | Video: 1280x720, 44 KHz | 606 MB
Genre: eLearning | Language: English + Sub

What do you understand by Binomial Theorem

Binomial Theorem

Binomial Theorem

Basic Combination Knowledge

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We know how to find the squares and cubes of binomials like a + b and a - b. E.g. (a+b)2, (a-b)3 etc. However, for higher powers calculation becomes difficult. This difficulty was overcome by a theorem known as binomial theorem. It gives an easier way to expand (a + b)n, where n is an integer or a rational number. Total number of terms in expansion = index count +1. g. expansion of (a + b)2, has 3 terms. Powers of the first quantity 'a' go on decreasing by 1 whereas the powers of the second quantity 'b' increase by 1, in the successive terms. In each term of the expansion, the sum of the indices of a and b is the same and is equal to the index of a + b.

The topics and sub-topics covered in binomial theorem are:

Introduction

Binomial theorem for positive integral indices

Binomial theorem for any positive integer n

Special Cases

General and Middle Term




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