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Coordinate Geometry

Question
CBSEENMA9001877

Without actually calculating the cubes, find the value of each of the following:
(28)3 + (- 15)3 + (- 13)3

Solution

(28)3 + (- 15)3 + (- 13)3
(28)3 + (- 15)3 + (- 13)3
= 3(28)(- 15)(- 13)
| ∵ (28) + (- 15) + (- 13) = 0
= 16380.