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: 28

Answer

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

Work Step by Step

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