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 40: 94

Answer

$(x^n+y^n)(x^{2n}-x^ny^n+y^{2n})$

Work Step by Step

$x^{3n}+y^{3n}=(x^n)^3+(y^n)^3=(x^n+y^n)[(x^n)^2-x^ny^n+(y^n)^2]=(x^n+y^n)(x^{2n}-x^ny^n+y^{2n})$
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