Elementary Algebra

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

Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2: 62

Answer

$14x+17y$

Work Step by Step

Using $a(b+c)=ab+ac$, or the Distributive Property and then combining like terms, the given expression, $ 3(2x+5y)+2(4x+y) ,$ simplifies to \begin{array}{l}\require{cancel} 6x+15y+8x+2y \\\\= (6x+8x)+(15y+2y) \\\\= 14x+17y .\end{array}
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