Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 1 - Section 1.4 - Properties of Real Numbers and Algebraic Expressions - Exercise Set: 48

Answer

$7y+14$

Work Step by Step

To find a product using the distributive property, you take the coefficent--in this case the 7 outside of the parentheses--and multiply it by each term within the parentheses separately. The first term within the parentheses is $x$, so the first term of the product is $7\times y$, or $7y$. The second term within the parentheses is 2, so the second term of the product is $7\times2$, or 14. The terms within the parentheses are connected by a plus sign, so the terms within the product will be too. The final product, therefore, is $7y+14$.
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