Without any actually calculating the cube, find the value of (1/2)cube +(1/3)cube - (5/6) cube
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If a+b+c = 0 , then (a)cube + (b)cube + (c)cube = 3abc
1/2 + 1/3 - 5/6
= 5/6 - 5/6
= 0
Therefore , 3(1/2)(1/3)(5/6)
= 5/12
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