1

Problem

Calculate the expression:
\$ 10 − 3 times (8 − 5)^2 \$

2

Step

The given expression

\$ 10 − 3 times (8 − 5)^2 \$

3

Hint

To evaluate the expression, let’s follow the PEMDAS rule:

Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)

4

Step

First, calculate the expression inside the parentheses

8 − 5 = 3

5

Step

Then, square the result

\$ 3^2 = 9 \$

6

Step

Now, substitute the result back into the expression

\$ 10 - 3 times 9 \$

7

Step

Now, let’s multiply

\$ 3 times 9 = 27 \$

8

Step

Finally, let’s subtract this result from 10

10 - 27 = - 17

9

Solution

So the correct step is - 17.

10

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

11

Choice-A

This is not the correct STEP. It seems like a result that might have come from subtracting 10 from 27, but it does not reflect the correct computation of the expression

Wrong -21

12

Choice-B

The simplified expression gives -17, confirming option B’s accuracy with its operations leading to the result of -17

Correct -17

13

Choice-C

This option suggests a misunderstanding of the operations, possibly by adding instead of subtracting

Wrong 63

14

Choice-D

This choice indicates a significant calculation error, possibly by a misunderstanding of the order of operations

Wrong -51

15

Answer

Option

B

16

Sumup

Please Summarize Choices