Question

What is the value of 2|6 + p| - 3p³ when p = -2?
a) -32
b) -16
c) 32
d) 56

Answer 1

The value of 2|6 + p| - 3p³ when p = -2 is calculated by substituting -2 into the expression, simplifying, and combining values to obtain a result of 32.

Step-by-step explanation:

To find the value of 2|6 + p| - 3p³ when p = -2, follow these steps:

1. Substitute p with -2 into the expression: 2|6 + (-2)| - 3(-2)³.
2. Calculate the absolute value |4|, which is 4.
3. Multiply the absolute value by 2: 2 × 4 to get 8.
4. Calculate the cube of -2: (-2)³, which is -8.
5. Multiply this result by -3: -3 × -8 to get 24.
6. Finally, add the two results together: 8 + 24 to get 32.

Therefore, when p = -2, the value is 32.