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if a, b, and c are integers between -10 and 10, and a cubed plus b cubed = c cubed, what does a, b, c, represent if as to get the greatest possible sum for a+b+c

 Sep 13, 2016
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if a, b, and c are integers between -10 and 10, and a cubed plus b cubed = c cubed, what does a, b, c, represent if as to get the greatest possible sum for a+b+c

 

\(a^3+b^3=c^3\\ \)

This will only happen if a or b = 0 and the other one =c

Let b=0

a=c

 

maximum value of a+b+c = 10+0+10 = 20

 Sep 13, 2016

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