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Found in: Page 73


Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Are 2(x+1)and2x+1 equivalent variable expressions? Explain.

The two expressions are not same & they are not equivalent

See the step by step solution

Step by Step Solution

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Step-2 – Distributive Property of Multiplication 

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: a(b+c)=a·b+a·c

Example: 12(3+4)12=12·3+12·4=36+48=84

Step-3:  Are 2(x+1) and 2x+1 equivalent variable expressions? Explain.

Using distributive property of multiplication

Property: a(b+c)=a·b+a·c

We can write by using distributive method of multiplication: 2x+1 = 2x+2

The second expression is 2x+1

Since this two expressions are not same & they are not equivalent.

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