Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.2 Factoring - R.2 Exercises: 31

Answer

$(x-y)(x+y)(x^2+y^2)$

Work Step by Step

RECALL: $a^2-b^2=(a-b)(a+b)$ The given expression can be written as: $(x^2)^2-(y^2)^2$ Factor this expression using the formula above with $a=x^2$ and $b=y^2$ to have: $=(x^2-y^2)(x^2+y^2)$ Factor the first binomial using the same formula with $a=x$ and $b=y$ to have: $=(x-y)(x+y)(x^2+y^2)$
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