Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

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

Answer

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

Work Step by Step

$18h^{3}=2.3.3.h.h.h$ and $45h^{2}=3.3.5.h.h$ Hence, $GCF=$$3.3.h.h=9h^{2}$ $8h=2.2.2.h$ and $20=2.2.5$ Hence, $GCF=$$2.2=4$ After grouping: $=9h^{2}(2h+5)-4(2h+5)$ $=(9h^{2}-4)(2h+5)$ $=(2h+5)(3h-2)(3h+2)$ (since $(a^{2}-b^{2})=(a+b)(a-b)$)
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