Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set: 104

Answer

$x^{2a}-y^{4b}$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms and using the laws of exponents, the given expression, $ (x^a+y^{2b})(x^{a}-y^{2b}) $, is equivalent to \begin{array}{l}\require{cancel} (x^{a})^2-(y^{2b})^2 \\\\= x^{2a}-y^{4b} .\end{array}
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