What is equal to 4(5−2)^2−2^3?

What is equal to 4(5−2)^2−2^3?

• A. 16
• B. 28
• C. 76
• D. 136

Answer: (B)

To solve the expression \(4(5-2)^2 - 2^3\), follow these steps: 1. Start with the parentheses: \[ 5 - 2 = 3 \] 2. Next, square the result: \[ 3^2 = 9 \] 3. Multiply by 4: \[ 4 \times 9 = 36 \] 4. Now evaluate \(2^3\): \[ 2^3 = 8 \] 5. Finally, subtract the result from step 4 from the result in step 3: \[ 36 - 8 = 28 \] Thus, the value of the entire expression \(4(5-2)^2 - 2^3\) is \(28\). This confirms that the correct answer is indeed accurate, as it reflects the appropriate order of operations and steps in arithmetic calculation.

To solve the expression (4(5-2)^2 - 2^3), follow these steps:

1. Start with the parentheses:

[

5 - 2 = 3

]

2. Next, square the result:

[

3^2 = 9

]

3. Multiply by 4:

[

4 \times 9 = 36

]

4. Now evaluate (2^3):

[

2^3 = 8

]

5. Finally, subtract the result from step 4 from the result in step 3:

[

36 - 8 = 28

]

Thus, the value of the entire expression (4(5-2)^2 - 2^3) is (28). This confirms that the correct answer is indeed accurate, as it reflects the appropriate order of operations and steps in arithmetic calculation.