Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.5 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 295: 51

Answer

(2x + 3)(3y + 5)

Work Step by Step

1. Factor out the GCF for the first two monomials: 6xy + 10x = 2x (3y + 5) Factor out the GCF for the last two monomials: 9y + 15 = 3(3y + 5) The expression is now 2x(3y + 5) + 3(3y + 5) 2. Use the distributive property to simplify. (2x + 3)(3y + 5)
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