Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.3 - Polynomials and Special Products - Exercises - Page 31: 62



Work Step by Step

We will use the result that $(a-b)(a+b)=a^2-b^2$ Hence, $(x+y)(x-y)(x^2+y^2)=(x^2-y^2)(x^2+y^2)$ (pairing the first two product terms and applying the result mentioned above) $(x^2-y^2)(x^2+y^2)=x^4-y^4$
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