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In Problems 29-42, use the Binomial Theorem to find the indicated coefficient or term.
The coefficient of in the expansion of
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To find: The coefficient of in the expansion of using Binomial Theorem.
Answer to Problem 31AYU
Solution:
The coefficient of in the expansion is .
Explanation of Solution
Given:
Expression is given as
Formula used:
The Binomial Theorem:
Let and be real numbers. For any positive integer , we have
The binomial theorem can be used to find a particular term in an expansion without writing the entire expansion.
Based on the expansion of , the term containing is .
Here and . Applying Binomial theorem,
is
The coefficient of in the expansion is .
Chapter 12 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Calculus, Single Variable: Early Transcendentals (3rd Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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