If a, b, c be all positive integers, then the least positive value of $$a^{3} + b^{3} + c^{3}

1. If a, b, c be all positive integers, then the least positive value of $$a^{3} + b^{3} + c^{3} - 3abc$$ is

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By: anil on 05 May 2019 01.54 am

$$a^{3} + b^{3} + c^{3} - 3abc$$ = (a+b+c)($$(a^2 + b^2 + c^2)$$ - ab -bc-ac) we will get minimum value when a=b=c as all are positive so the minimum value is 0

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