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: 26

Answer

$28x^{4}y^{2}+12x^{3}y^{4}-36xy^{5}$

Work Step by Step

$4xy^{2}(7x^{3}+3x^{2}y^{2}-9y^{3})=(4xy^{2})(7x^{3})+(4xy^{2})(3x^{2}y^{2})+(4xy^{2})(-9y^{3})=28x^{1+3}y^{2}+12x^{1+2}y^{2+2}+(-36xy^{2+3})=28x^{4}y^{2}+12x^{3}y^{4}+(-36xy^{5})=28x^{4}y^{2}+12x^{3}y^{4}-36xy^{5}$
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