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However, for higher powers like (98)5, (101)6, etc., the calculations become difficult by using repeated multiplication. 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.
binomial expression. For example, x + a, 2x – 3y, − , 7 x − , etc., are all binomial. x 3 x 5 y expressions. 8.1.2 Binomial theorem. If a and b are real numbers and n is a positive integer, then. + b)n =nC an + nC an. 1 b1 + nC an. 2 b2 + ... 0 1 2. ... +. nC an –. br + ... +. nC. bn, where. nC. = n. r. − n n for 0 ≤ r ≤ n.
However, for higher powers like (98)5, (101)6, etc., the calculations become difficult by using repeated multiplication. 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.
This lesson covers skills from the following lessons of the NCERT Math Textbook: (i) 6.1- Introduction, and (ii) 6.2 - Binomial theorem for positive integral indices
This article explains the binomial theorem formula class 11 along with some useful tips that will help students memorize it at their fingertips. List of Binomial Theorem Formula Class 11. Binomial formula helps to expand the binomial expressions such as x + a, (x - (1/x))4, and so on. Students can refer to the list of binomial theorem formula ...
NCERT Solutions Class 11 Maths Chapter 8 Binomial Theorem PDF is available for free download. Clear all doubts with NCERT Class 11 Maths Solutions for Chapter 8 Binomial Theorem, prepared by subject experts, at BYJU'S.
☛ Download Class 11 Maths Chapter 8 NCERT Book. Topics Covered: The topics under class 11 maths NCERT solutions chapter 8 are using the binomial theorem to expand expressions and finding the general term as well as the middle term in an exponential expression.
