Question

Without actually calculating the cubes, find the value of:

(25)³ + (–17)³ + (–8)³

Answer 1

(25)³ + (–17)³ + (–8)³

Here, let a = 25, b = –17, c = –8

Let’s check if a + b + c = 0

25 + (–17) + (–8)

25 – 17 – 8 = 0

Using the identity:

a³ + b³ + c³ = 3abc

= 3 × 25 × (−17) × (−8)

= 75 × 136

= 10200