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Coordinate Geometry

Question
CBSEENMA9001876

Without actually calculating the cubes, find the value of each of the following:
 (- 12)+ (7)3 + (5)3

Solution

(28)3 + (- 15)3 + (- 13)3.
(- 12)3 + (7)3 + (5)3
(- 12)3 + (7)3 + (5)3 = 3(- 12)(7)(5)
| ∵ (- 12) + (7) + (5) = 0
= - 1260