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: 51

Answer

$12x+10y+4z$

Work Step by Step

To find a product using the distributive property, you take the coefficent--in this case the 2 outside of the parentheses--and multiply it by each term within the parentheses separately. The first term within the parentheses is $6x$, so the first term of the product is $2\times6x$, or $12x$. The second term within the parentheses is $5y$, so the second term of the product is $2\times5y$, or $10y$. The third term within the parentheses is $2z$, so the third term of the product is $2\times2z$, or $4z$. The terms within the parentheses are connected by plus signs, so the terms within the product will be too. The final product after distributing the 2, therefore, is $12x+10y+4z$.
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