Given the z-transform pair\(X[n] \leftrightarrow \frac{32}{z^2-16}\), |z|<4The z-transform of the signal y[n] = x[n+1] + x[n-1] is _________

• A. \(\frac{(z+1)^2}{(z+1)^2-16} + \frac{(z-1)^2}{(z-1)^2-16}\)
• B. \(\frac{z^2 (1+z)}{z^2-16}\)
• C. \(\frac{z^2 (z-1)}{z^2-16}\)
• D. \(\frac{(z+2)^2}{(z+2)^2-16}\)