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: 31

Answer

$(u+3v)(u^2-3uv+9v^2)$

Work Step by Step

$u^3+27v^3=u^3+(3v)^3=(u+3v)[u^2-u(3v)+(3v)^2]=(u+3v)(u^2-3uv+9v^2)$
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