Explanation Formula used: “If j and n are integers with 0 ≤ j ≤ n , then the binomial coefficient ( n j ) = n ! j ! ( n − j ) ! ”. Property used: The property of factorial is n ! = n ( n − 1 ) ! if n ≥ 2 . Calculation: It is known that, the j th term in a binomial expansion of ( x + a ) n is ( n j − 1 ) a j − 1 x n − j + 1 . Compare the given expression ( x − 1 ) 10 with ( x + a ) n , the value of n = 10, a =−1 and j = 4. Substitute the values for n , a and j in ( n j − 1 ) a j − 1 x n − j + 1 , ( n j − 1 ) a j − 1 x n − j + 1 = ( 10 4 − 1 ) ( − 1 ) 4 − 1 x 10 − 4 + 1 = ( 10 3 ) (

3rd Edition

ISBN: 9780321880116

Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella

Publisher: PEARSON

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Chapter 13.4, Problem 44E

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The 4th term in the expression (x−1)10.

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Chapter 13.4, Problem 43E

Chapter 13.4, Problem 45E

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Chapter 13 Solutions

Elementary & Intermediate Algebra

Ch. 13.1 - A(n) _____ is a function whose domain is the set...Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E

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The 4th term in the expression ( x − 1 ) 10 .

Solution Summary: The author compares the given expression (x-1)10 with the value of n = 10, a =1 and j = 4.

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The 4th term in the expression (x−1)10.

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Chapter 13 Solutions