Binomial Theorem
Learn about the Binomial Theorem, a mathematical concept that provides an easier way to expand expressions like (a + b)^n. This theorem is useful for calculating higher powers and has various applications in algebra. This course is suitable for anyone interested in studying the Binomial Theorem or looking to improve their understanding of algebra.
What you’ll learn
- Binomial Theorem
What do you understand by Binomial Theorem?
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
What do you understand by Binomial Theorem?
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
What do you understand by Binomial Theorem?
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
Who this course is for:
- Anyone who want to study binomial Theorem
- Anyone who’s looking for Algebra
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