Algebra and Trigonometry 10th Edition

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

Prerequisites - p.4 - Factoring Polynomials - Exercises - Page 39: 18

Answer

$(x^2+4y^2)(x+2y)(x-2y)$

Work Step by Step

$x^4-16y^4=(x^2)^2-(4y^2)^2=(x^2+4y^2)(x^2-4y^2)=(x^2+4y^2)[(x^2-(2y)^2]=(x^2+4y^2)(x+2y)(x-2y)$
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