Elementary Algebra

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

Chapter 2 - Real Numbers - Chapter 2 Review Problem Set - Page 88: 38


$= 2b(0.18c - 0.29a)$

Work Step by Step

Looking at the variables, we have terms with both $ab$ and $bc$. We group like terms using parenthesis to make simplification easier. Then, we simply add or subtract the corresponding coefficients. Finally, we factor out $2b$. $0.24ab + 0.73bc - 0.82ab - 0.37bc$ $= (0.24ab - 0.82ab) + (0.73bc - 0.37bc)$ (Rewrite the order) $= -0.58ab + 0.36bc$ $= 0.36bc - 0.58ab$ (Factor out $2b$) $= 2b(0.18c - 0.29a)$
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