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" The square root of "(3a+2b+3c)^(2)-(2a...

" The square root of "(3a+2b+3c)^(2)-(2a+3b+2c)^(2)+5b^(2)" is "

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(3a-2b)^(3)+(2b-5c)^(3)+(5c-3a)^(3)

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

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

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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If a ,\ b ,\ c are positive real numbers, then root(5)(3125\ a^(10)b^5c^(10)) is equal to (a)\ 5a^2b c^2 (b) 25 a b^2c (c) 5a^3b c^3 (d) 125\ a^2b c^2

If a,b,c are real numbers such that a+b+c=0 and a^(2)+b^(2)+c^(2)=1, then (3a+5b-8c)^(2)+(-8a+3b+5c)^(2)+(5a-8b+3c)^(2) is equal to

(3a-2b)^3+(2b-5c)^3+(5c-3a)^3

If a,b and c are the roots of x^(3) +qx+r=0 , then (a-b)^(2) +(b-c)^(2) +(c-a)^(2) =