Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.5 - Multiplying Polynomials - Exercise Set - Page 379: 25

Answer

$6x^{5}y-3x^{4}y^{3}+24x^{2}y^{4}$

Work Step by Step

$3x^{2}y(2x^{3}-x^{2}y^{2}+8y^{3})=(3x^{2}y)(2x^{3})+(3x^{2}y)(-x^{2}y^{2})+(3x^{2}y)(8y^{3})=6x^{2+3}y+(-3x^{2+2}y^{1+2})+24x^{2}y^{1+3}=6x^{5}y+(-3x^{4}y^{3})+24x^{2}y^{4}=6x^{5}y-3x^{4}y^{3}+24x^{2}y^{4}$
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