Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1 - Page 242: 9



Work Step by Step

When we are looking for the greatest common factor, we are trying to find the greatest expression that can be multiplied by a whole number to get all three expressions. The greatest value that goes into $16a^2b^2$, $40a^2b^3$, and $56a^3b^4$ is $8a^2b^2$, so this is the greatest common factor.
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