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

Short Answer

Expert verified

The two expressions are not same & they are not equivalent

Step by step solution

01

Step-1 – What are real numbers? 

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

02

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

03

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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