\[(x + y + z)^{2} = \left( (x + y) + z \right)^{2} =\]
\[= (x + y)^{2} + 2z(x + y) + z² =\]
\[= x^{2} + 2xy + y^{2} + 2xz + 2yz + z^{2} =\]
\[= x^{2} + y^{2} + z^{2} + 2xy + 2xz + 2yz.\]