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Question
Without actually calculating the cubes, find the value of:
(–32)3 + (15)3 + (17)3
Sum
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Solution
(–32)3 + (15)3 + (17)3
Here, let a = –32, b = 15, c = 17
Let’s check if a + b + c = 0
–32 + 15 + 17 = 0
Using the identity:
a3 + b3 + c3 = 3abc
= 3 × (−32) × 15 × 17
= (−96) × 255
= −24,480
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Chapter 3: Expansions - EXERCISE B [Page 36]
