High School

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

A. 98,139
B. -98,139
C. 70,256
D. -70,256

Answer :

Final answer:

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).

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).