Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.1 - The Greatest Common Factor - Practice: 12

Answer

$(2x+5y)(y-2)$

Work Step by Step

$2xy + 5y^2 - 4x - 10y = y(2x+5y) -2 (2x+5y)$ The binomial $(2x+5y)$ is present in both terms and is the greatest common factor. We use the distributive property to factor out $(2x+5y)$ $2xy + 5y^2 - 4x - 10y = y(2x+5y) -2 (2x+5y)= (2x+5y)(y-2)$
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