" 3.The value of the determinant "|[1,x,y+z],[1,y,z+x],[1,z,x+y]|" is: "

Find the value of the "determinant" |{:(1,x,y+z),(1,y,z+x),(1,z,x+y):}|

Find the value of the "determinant" |{:(1,x,y+z),(1,y,z+x),(1,z,x+y):}|

The value of |[[1,x,y+z],[1,y,z+x],[1,z,x+y]]| is

|[x,1,y+z],[y,1,z+x],[z,1,x+y]|=

The value of the det. |[x+y,y+z,z+x],[z,x,y],[1,1,1]| is

The value of the determinant |{:(1,x,x^2),(1,y,y^2),(1,z,z^2):}| is equal to

The value of the determinant |{:(1,x,x^2),(1,y,y^2),(1,z,z^2):}| is equal to

The value of the determinant |{:(1,x,x^2),(1,y,y^2),(1,z,z^2):}| is equal to

The value of the determinant |{:(1 , x , x+ z) , (1 , y , z + x) , (1 , z , x + y):}| is

Given that xyz = -1 , the value of the determinant |(x,x^(2),1 +x^(3)),(y,y^(2),1 + y^(3)),(z,z^(2),1 +z^(3))| is