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