Question

Without actually calculating the cubes, find the value of (28)^3 + (-15)^3 + (-13)^3:

a. 98,139
b. -98,139
c. 70,256
d. -70,256

Answer 1

The value of (28)^3 + (-15)^3 + (-13)^3 is -98,139. So, when we add the cubes of positive and negative numbers together, the negatives will cancel out the positives, resulting in a negative answer. Therefore, the value of (28)^3 + (-15)^3 + (-13)^3 is -98,139 (option b).

Step-by-step explanation:

Without calculating the cubes, we can still find the value of (28)^3 + (-15)^3 + (-13)^3 using the concept of additive inverse.

The cube of a positive number will always be positive, and the cube of a negative number will always be negative.

So, when we add the cubes of positive and negative numbers together, the negatives will cancel out the positives, resulting in a negative answer.

Therefore, the value of (28)^3 + (-15)^3 + (-13)^3 is -98,139 (option b).