Find the value of `|[3,1,2],[a,b,c],[a^(2),b^(2),c^(2)]|`.

Find the value of det[[1,a,a^(2)-bc1,b,b^(2)-ac1,c,c^(2)-ab]]

Find the value of: |[1 a^2 a^3],[1 b^2 b^3],[1 c^2 c^3]|

If a+2b+3c=4, then find the least value of a^(2)+b^(2)+c^(2)

Evaluate the following: |[a,b,c],[a^2, b^2, c^2],[a^3, b^3, c^3]|

Find the value of sqrt((a+b +c)^(2) + (a +b+c)^(2) + 2(c^(2) -a^(2) -b^(2) -2ab))

If a+b+c=0 , find the value of (a^2)/((a^2-b c))+(b^2)/((b^2-c a))+(c^2)/((c^2-a b)) (a) 0 (b) 1 (c) 2 (d) 4

Find the value of ((a+b)^(2))/((b-c)(c-a))+((b+c)^(2))/((a-b)(c-a))+((c+a)^(2))/((a-b)(b-c))

If a+b+c=0, find the value of (a^(2))/((a^(2)-bc))+(b^(2))/((b^(2)-ca))+(c^(2))/((c^(2)-ab))*( a) 0 (b) 1(c)2(d)4

If a^(-1),b^(-1),c^(-1),d^(-1) are in A.P then find the value of (a^(-2)-d^(-2))(b^(-2)-c^(-2))^(-1)

If a+b+c=0 and a^(2)+b^(2)+c^(2)=1 then find the value of 2(a^(4)+b^(4)+c^(4))