11th Mathematics NCERT Chapter 7

– Introduction to Binomial Theorem: Explores the need for binomial theorem for higher powers and introduces the concept of expanding (a + b)^n for positive integral indices.

– Binomial Theorem for Positive Integral Indices: Discusses the expansion of binomials like (a + b)^2, (a + b)^3, and the patterns observed in the coefficients arrangement.

– Pascal's Triangle: Introduces Pascal's triangle as a tool to expand binomials for higher powers and its usage in simplifying calculations【4:0†source】.

– Examples and Exercises: Provides examples and exercises on using the binomial theorem for expansions and calculations, such as comparing values like (1.01)^1000000 and 10000, proving remainders when dividing by 25, and evaluating expressions using binomial theorem【4:1†source】【4:2†source】.

– Historical Note: Offers a historical background on the development of binomial theorem, including the contributions of various mathematicians throughout history【4:2†source】.