Simplify: (x+y+z)2+(x−y−z)2(x+y+z)^2 + (x-y-z)^2(x+y+z)2+(x−y−z)2
2x2+2y2+2z2+4yz2x^2 + 2y^2 + 2z^2 + 4yz2x2+2y2+2z2+4yz
2x2+2y2+2z2−4yz2x^2 + 2y^2 + 2z^2 - 4yz2x2+2y2+2z2−4yz
2(x2+y2+z2)2(x^2+y^2+z^2)2(x2+y2+z2)
4xy+4xz4xy + 4xz4xy+4xz