`|(2x,xy-xz,y),(2x+z+1,xy-xz+yz-z^2,1+y),(3x+1,2xy-2xz,1+y)|` is equal to

If x+y+z=0, |x|=|y|=|z|=2 then xy+yz+xz is equal to

x ^(2) - xz + xy - yz =?

Show that Delta=|((y+z)^2,xy,zx),(xy,(x+z)^2,yz),(xz,yz,(x+y)^2)|=2x y z(x+y+z)^3 .

xy,xz,x^(2)+1y^(2)+!,yz,xyyz,z^(2)+1,xz]|=1+x^(2)+y^(2)+z^(2)

Which of the following are possible solutions of |(y^2+z^2,xy,xz),(xy,z^2+x^2,yz),(zx,zy,x^2+y^2)|=8 are (x,y,z)=