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