Explanation Given: The binomial expression is ( 3 x + x 3 ) 10 . Formula used: T r + 1 = ( n r ) a n − r b r Calculation: Consider the expression: ( 3 x + x 3 ) 10 . The ( r + 1 ) t h term of binomial expression ( a + b ) n is: T r + 1 = ( n r ) a n − r b r . Since, the binomial expression is of power 10, hence there are 11 terms in the expansion, i.e., 6 th term is the middle term. So, substitute r = 5 , n = 10 , a = 3 x and b = x 3 in the ( r + 1 ) t h term, T 5 + 1 = ( 10 5

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Chapter 11.4, Problem 57ES

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To calculate: The middle term in a binomial expansion of (3x+x3)10.

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EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST

Ch. 11.1 - Prob. 1CP Ch. 11.1 - Write the first four terms of the sequence whose...Ch. 11.1 - Prob. 3CP Ch. 11.1 - Prob. 4CP Ch. 11.1 - Prob. 1CAVC Ch. 11.1 - Prob. 2CAVC Ch. 11.1 - Write the first term of each...Ch. 11.1 - Prob. 4CAVC Ch. 11.1 - Prob. 5CAVC Ch. 11.1 - Write the first term of each sequence....

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The middle term in a binomial expansion of ( 3 x + x 3 ) 10 .

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