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If a^(2)+b^(2)+c^(2)=1 where, a,b,cin R,...

If `a^(2)+b^(2)+c^(2)=1` where, a,b,`cin R`, then the maximum value of `(4a-3b)^(2) + (5b-4c)^(2)+(3c-5a)^(2)` is

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