$||\mathbf{u}||^2 + ||\mathbf{v}||^2$

$||\mathbf{u}||^2 + ||\mathbf{v}||^2 + 2(\mathbf{u} \cdot \mathbf{v})$

$||\mathbf{u}||^2 + ||\mathbf{v}||^2 + 2||\mathbf{u}|| \cdot ||\mathbf{v}||$

$||\mathbf{u} - \mathbf{v}||^2 + 4(\mathbf{u} \cdot \mathbf{v})$