Simplify: `(x^2+y^2-z^2)^2-\ \ (x^2-y^2+z^2)^2`

Simplify: (x+y-2z)^(2)-x^(2)-y^(2)-3z^(2)+4xy

Simplify: (x+y-2z)^2-x^2-y^2-3z^2+4x y

Simplify: ((x^(2)-y^(2))^(3) + (y^(2) - z^(2))^(3) + (z^(2) -x^(2))^(3))/((x-y)^(3) + (y-z)^(3) + (z-x)^(3))

Simplify : (-x-y-z)^2-(x+y-z)^2 .

Simplify : (x-y+2z)^2+(2x+y-z)^2 .

Factorize each of the following expressions: x(x^2+y^2-z^2)+y(-x^2-y^2+z^2)-z(x^2+y^2-z^2)

Simplify: (x+y+2z)(x^(2)+y^(2)+4z^(2)-xy-2yz-2zx)

Simplify : ( y - z )^2 + ( z - x )^2 + ( x - y )^2 is equal to

Simplify : (x- 2y + 3z ) ( x^(2) + 4y^(2) + 9z^(2) + 2xy + 6yz - 3xz)