College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.5 - Page 757: 16

Answer

$81x^4+108x^3+54x^2+12x+1$

Work Step by Step

Use the binomial theorem formula (detailed on page 754) to solve the problem. Be careful in writing each term correctly. $(3x+1)^4$ $1*(3x)^4+4*(3x)^3*(1)+6*(3x)^2*(1)^2+4*(3x)*(1)^3+(1)^4$ $81x^4+108x^3+54x^2+12x+1$
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