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 758: 27

Answer

$243x^5-405x^4y+270x^3y^2-90x^2y^3+15xy^4-y^5$

Work Step by Step

Use the binomial theorem formula (detailed on page 754) to solve the problem. Be careful in writing each term correctly. $(3x-y)^5$ $1*(3x)^5+5*(3x)^4*(-y)+10*(3x)^3*(-y)^2+10*(3x)^2*(-y)^3+5*(3x)*(-y)^4+1*(-y)^5$ $243x^5-405x^4y+270x^3y^2-90x^2y^3+15xy^4-y^5$
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