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Use the distributive property to evaluate the expression.

(2+9)2

Short Answer

Expert verified

(2  +  9) 2  =  22.

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:  (3  +  4  )  12=  3  ·  12  +  3  ·  12  =  36  +  48  =  84

03

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

Distributive Property of Multiplication

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

(2  +  9) 2  =  2  ·  2  +  9  ·  2  =  4  +  18  =  22

(2  +  9) 2  =  22

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