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Chapter 2: Q28. (page 73)

Use the distributive property to write an equivalent variable expression.

4  (  x  -  2  )

Short Answer

Expert verified

4(x−2)= â¶Ä‰4x â¶Ä‰âˆ’ â¶Ä‰8 .

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: 8 (12  -  4  )  =   8  ·  12  -  8  ·  4  =  96  -  32  =  64

03

Step-3:  Use the distributive property to evaluate the expression.

Distributive Property of Multiplication

Property: a  (b  -  c  )  =  a  ·  b  - a  ·  c  

4(x-2)=  4  ·  x  -  4  ·  2  =  4x  -  8  

4(x-2)=  4x  -  8 

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