Sarthaks Test
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Without actually calculating the cubes, find the value of each of the following:

(-12)3 + (7)3 + (5)3

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(-12)3 + (7)3 + (5)3

Let x = −12, y = 7, and z = 5

It can be observed that,

x + y + z = − 12 + 7 + 5 = 0

It is known that if x + y + z = 0, then

x3 + y3 +z3

(-12)3 + (7)3 + (5)3

= 3(-12)(7)(5)

= -1260

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