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Question
Without actually calculating the cubes, find the value of:
(25)3 + (–17)3 + (–8)3
Sum
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Solution
(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
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Chapter 3: Expansions - EXERCISE B [Page 36]
