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Chapter 1: Q12. (page 17)

Evaluate the expression whenx=4andy=2

localid="1648625501579" 2(x鈭�y)2

Short Answer

Expert verified

The value of the expression is8.

Step by step solution

01

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

  • First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
  • Evaluate the exponents.
  • Perform Multiplication and division from left to right.
  • Perform addition and subtraction from left to right.
02

Step-2 – Evaluate the expression inside grouping symbol

In order to evaluate the given expression, first substitute 4 for x and 2 for y and then subtract the numbers as shown below.

2(x鈭�y)2=2(4鈭�2)2=2(2)2

03

Step-3 – Evaluate the exponent

Now to simplify further, expand the exponent as shown below.

2(2)2=2(4)

04

Step-4 – Multiply the numbers

Now to simplify further, multiply the resulting numbers to get

2(4)=8

Thus, the value of the expression is 8.

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