If `a+b+c=8` find `(a b^2 c^3)max=?`

If a + b + c = 8 and ab + bc + ca = 11 , then find the value of a^(3)+b^(3)+c^(3)-3abc

If a : b = 3 : 4 and b : c = 8 : 9, find a : b : c

If a^2+b^2+c^2=250 and a b+b c+c a=3, find a+b+c

If a^2+b^2+c^2=250 and a b+b c+c a=3, find a+b+c

If a^2+b^2+c^2=250 and a b+b c+c a=3 , find a+b+c

If a+b+c=9 and a^2+b^2+c^2=35 , find the value of a^3+b^3+c^3-3a b c

If a+b+c=9 and a^2+b^2+c^2=35 , find the value of a^3+b^3+c^3-3a b c

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