Elementary Algebra

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

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.5 - Use of Properties - Problem Set 1.5: 78



Work Step by Step

Combining like terms, the given expression, $ (a+b)-(a-b) ,$ simplifies to \begin{array}{l}\require{cancel} a+b-a+b \\\\= (a-a)+(b+b) \\\\= 0+2b \\\\= 2b .\end{array} Substituting $ b=14 ,$ the resulting expression above evaluates to \begin{array}{l}\require{cancel} 2(14) \\\\= 28 .\end{array}
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