Without actually calculating the cubes, find the value of :
[(27)^3]+[(-17)^3]+[(-10)^3]

Dear Student,

273 + -173 + -103Let a = 27; b = -17; c = -10Now, a + b + c = 27 - 17 - 10 = 0Since, a + b + c = 0, then       a3 + b3 + c3 = 3abc273 + -173 + -103 = 3 27-17-10 = 13770

Regards

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