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91Ó°ÊÓ

Use the distributive property to write an equivalent variable expression.

m  (  5-m  )

Short Answer

Expert verified

m  (5  -  m)  =  5m  -  m2.

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: 3  (  8  -  5 )  =  3  ·  8  -  3  ·  5  =  24  -   15  =  9  

03

Step-3:  Evaluate the expression using the distributive property. 

Distributive Property of Multiplication

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

m â¶Ä‰(5 â¶Ä‰âˆ’ â¶Ä‰m) â¶Ä‰= â¶Ä‰m â¶Ä‰Â·â€‰â¶Ä‰5 â¶Ä‰âˆ’ â¶Ä‰m â¶Ä‰Â·â€‰â¶Ä‰m â¶Ä‰= â¶Ä‰5m â¶Ä‰âˆ’ â¶Ä‰m2 â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰m â¶Ä‰Â·â€‰â¶Ä‰m â¶Ä‰= â¶Ä‰m2m â¶Ä‰(5 â¶Ä‰âˆ’ â¶Ä‰m) â¶Ä‰= â¶Ä‰5m â¶Ä‰âˆ’ â¶Ä‰m2

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