\[( - 1)^{0} + ( - 1)^{2n + 2} \cdot ( - 1)^{n - 1} \cdot ( - 1)^{n + 1} =\]
\[= 1 + ( - 1)^{2n + 2 + n - 1 + n + 1} =\]
\[= 1 + ( - 1)^{4n + 2} = 1 + 1 = 2.\]