Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-8 Factoring by Grouping - Practice and Problem-Solving Exercises - Page 531: 20

Answer

$(3h-2)(3h+2)(2h+5)$

Work Step by Step

$18h^{3}+45h^{2}-8h-20=$ ...factor out the GCF of each group of two terms. $=9h^{2}(2h+5)-4(2h+5)$ ...factor out the common factor, $2h+5$. $=(9h^{2}-4)(2h+5)$ ...write $9h^{2}-4$ as a difference of two squares. $=(3h-2)(3h+2)(2h+5)$
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