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Use the distributive property to evaluate the expression.

(7-t)(-4)

Short Answer

Expert verified

(7  -  t  )  (-4)=  4t  -  28.

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

Example: (8  -  4  )  (-2)=  8  ·  -2  -   4  ·  - 2  =  -  16  +  8  =  -  8

03

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

We know that double negative is always positive. -   t  ·  - 4  =  4t

Distributive Property of Multiplication

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

(7 â¶Ä‰âˆ’ â¶Ä‰t â¶Ä‰) â¶Ä‰(−4)= â¶Ä‰7 â¶Ä‰Â·â€‰â¶Ä‰âˆ’4 â¶Ä‰âˆ’ â¶Ä‰â€‰t â¶Ä‰Â·â€‰â¶Ä‰âˆ’ 4 â¶Ä‰= â¶Ä‰âˆ’ â¶Ä‰28 â¶Ä‰+ â¶Ä‰4 t â¶Ä‰= â¶Ä‰4t−28(7 â¶Ä‰âˆ’ â¶Ä‰t â¶Ä‰) â¶Ä‰(−4)= â¶Ä‰4t â¶Ä‰âˆ’ â¶Ä‰28

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