Question

Without calculating the cubes, find the value of (25)³ + (–12)³ + (–13)³.

Answer 1

(25)³ + (–12)³ + (–13)³

Here, let a = 25, b = –12, c = –13

Let’s check if a + b + c = 0

25 + (–12) + (–13)

25 – 12 – 13 = 0

Using the identity:

a³ + b³ + c³ = 3abc

= 3 × 25 × (−12) × (−13)

= 75 × 156

= 11,700