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 532: 34



Work Step by Step

$10p^{2}-5pq-180q^{2}=$ ...factor out the GCF. $=5(2p^{2}-pq-36q^{2})$ ...rewrite $-pq$ as $8pq-9pq$. $=5(2p^{2}+8pq-9pq-36q^{2})$ ...factor by grouping. $=5[2p(p+4q)-9q(p+4q)]$ ...factor again. $=5(2p-9q)(p+4q)$
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