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Evaluate the expression whenx  =  5  and  y  =  -  2.

x2  +y3+  15  

Short Answer

Expert verified

The value of expression is 32.

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 – Associative Property of Addition of Real Numbers: 

Suppose a, b, and c is three real numbers.

Associative property of Addition: (a + b) + c = a + (b + c)

If you are adding three real numbers, the sum is always the same regardless of their grouping.

Example: (11+12) + 13 = 11 + (12+13) = 36

03

Step-3 – Evaluate the expression

Associative property of Addition states, if you are adding three real numbers, the sum is always the same regardless of their grouping.

Evaluate the expression:

To evaluate the expressionx2+y3+15, substitute the value of x as 5 and the value of y as – 2 and addition of the numbers as shown below,

25+(−8)+15(25+(−8))+15(AssociativePropertyofAddition)25+((−8)+15)(AssociativePropertyofAddition)25+7=32

Thus, the value of the expression is 32.

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