Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - 1.2 The Commutative, Associative, and Distributive Laws - 1.2 Exercise Set - Page 17: 91

Answer

An example of Distributive law is as follows: If we want to multiply $4$ and $2x+3$. We will use Distributive law, which states that a product of a number and a sum can be written as the sum of the two products. $4(2x+3)=4\cdot2x+4\cdot3=8x+12$ Since terms are separated by $+$ sign. $8x$ and $12$ are the terms. And since the parts of the product are the factors. $4$ and $2x+3$ are the factors in the expression $4(2x+3)$. $4$ and $2x$ are the factors in the expression $4\cdot2x$. $4$ and $3$ are the factors in the expression $4\cdot3$.

Work Step by Step

An example of Distributive law is as follows: If we want to multiply $4$ and $2x+3$. We will use Distributive law, which states that a product of a number and a sum can be written as the sum of the two products. $4(2x+3)=4\cdot2x+4\cdot3=8x+12$ Since terms are separated by $+$ sign. $8x$ and $12$ are the terms. And since the parts of the product are the factors. $4$ and $2x+3$ are the factors in the expression $4(2x+3)$. $4$ and $2x$ are the factors in the expression $4\cdot2x$. $4$ and $3$ are the factors in the expression $4\cdot3$.
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