Without actually calculations of the cube find: 75^3- 25^3- 50^3
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Let x = 75, y = -25, z = -50.
x + y + z = 75 - 25 - 50 = 0.
We know, if x + y + z = 0 then x3 + y3 + z3 = 3xyz.
753 - 253 - 503 = 3(75) (-25) (-50)
= 281250.
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