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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.
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.
Explain the concept of the Binomial Theorem covered in Chapter 8 of NCERT Solutions for Class 11 Maths. The Binomial Theorem is the process of algebraically expanding the power of sums of two or more binomials.
binomial expression. For example, x + a, 2 x – 3y, 3 1 1 4, 7 5 x x x y − − , etc., are all binomial expressions. 8.1.2 Binomial theorem If a and b are real numbers and n is a positive integer, then (a + b) n =C 0 na n+ nC 1 an – 1 b1 + C 2 a – 2 b2 + ..... + nC r an – r br +... + nC n bn, where nC r = n r n r− for 0 ≤ r ≤ n
NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem. Exercise 8.1. Page No: 166. Expand each of the expressions in Exercises 1 to 5. 1. (1 – 2x)5. Solution: From binomial theorem expansion we can write as.
The NCERT Solutions Class 11 Maths Chapter 8 covers two major topics namely - expansion of expressions using binomial theorem and pinpointing a term within an exponential expression. Both topics are very important and come with vital formulas.
Free PDF of NCERT Solutions for Class 11 Maths Chapter 8 – Binomial Theorem includes all the questions provided in NCERT Books prepared by Mathematics expert teachers as per CBSE NCERT guidelines from Mathongo.com.
