Question

without actually calculating the cubes, find the value of (-17 )3 + (5)3+ (12)3​

Answer 1

Answer:

we apply identity x^3 + y^3 + z^3 = 3xyz but we apply it only when x+ y + z = 0

so, let's check -17 + 5 + 12 = 0

so by applying identity, we get

0 = 3xyz

0 = 3 x -17 x 5 x 12

0 = - 3060

so, -3060 is correct answer

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