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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, 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
21 sie 2023 · Understanding Binomial Theorem An Important Algebra Concept In NCERT Class 11 Maths. By studying NCERT class 11 solution thoroughly, practicing relevant exercises, and revising key concepts, students can master this topic and apply it effectively in competitive exams.
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.
The important concepts covered in binomial theorem formula class 11 will help students understand the repeated multiplication of large numbers involved in simplifying calculations. Students will also learn to find the number of terms, general term and middle term in a binomial expansion.
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.
