(x - y + z)^2 + (z - y)^2 + (x - y + z)(2y -2z)
\(<=>(x-y+z)^2+2(x-y+z)(y-z)+(z-y)^2\)
\(<=> (x-y+z+z-y)^2<=> ( x-2y-2z)^2\)
\(\left(x+y+z\right)^2+\left(z-y\right)^2+\left(x-y+z\right)\left(2y-2z\right)\)
\(=\left(x+y+z+y-z\right)^2\)
\(=\left(x+2y\right)^2\)