Explanation Given Information: The given expression is ( x 2 + 3 y ) 8 . Formula used: Finding a specific term in Binomial Theorem: For any n and k positive integer. The kth term in expansion of ( a + b ) n is given by ( a + b ) n = n ! [ n − ( k − 1 ) ] ! ⋅ ( k − 1 ) ! ⋅ a n − ( k − 1 ) b k − 1 For 0! =1 Calculation: Consider the provided expression, ( x 2 + 3 y ) 8 Apply the formula for a specific term in binomial theorem, ( a + b ) n = n ! [ n − ( k − 1 ) ] ! ⋅ ( k − 1 ) ! ⋅ a n − ( k − 1 ) b k − 1 To calculate the fourth term of the expression ( x 2 + 3 y

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ISBN: 9781266148941

Author: Miller

Publisher: MCG CUSTOM

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Chapter 14, Problem 8RE

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To calculate: The fourth term of the expression (x2+3y)8.

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Chapter 14, Problem 7RE

Chapter 14, Problem 9RE

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Chapter 14 Solutions

BEGINNING+INTERM.ALG.(LL) >CUSTOM PKG.<

Ch. 14.1 - Prob. 1SP Ch. 14.1 - Prob. 2SP Ch. 14.1 - Evaluate the expressions. 3. 1! Ch. 14.1 - Prob. 4SP Ch. 14.1 - Prob. 5SP Ch. 14.1 - Prob. 6SP Ch. 14.1 - Write out the first three terms of ( x + y ) 5 .Ch. 14.1 - 8. Use the binomial theorem to expand . Ch. 14.1 - Use the binomial theorem to expand ( 2 a − 3 b 2 )...Ch. 14.1 - Find the fourth term of ( x + y ) 8 .

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The fourth term of the expression ( x 2 + 3 y ) 8 .

Solution Summary: The author explains how to calculate the fourth term of the expression (x2+3y)8.

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Chapter 14 Solutions