Algebra and Trigonometry 10th Edition

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

Prerequisites - Review Exercises - Page 63: 72

Answer

$45-4x^2$

Work Step by Step

Use the special product: sum and difference of same terms (see page 28): $(3\sqrt 5+2x)(3\sqrt 5-2x)=(3\sqrt 5)^2-(2x)^2=3^2(\sqrt 5)^2-4x^2=9(5)-4x^2=45-4x^2$
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