When \(n\) is a positive integer, \(9 + 3^ { n + 2 } = m\), what is the value of \(3^n\) in terms of \(m\)?
(A)\(m + 3\) (B)\(m^2 - 3\) (C)\(\frac { m + 1 } { 9 } \) (D)\(\frac { m - 9 } { 9 } \) (E)\(\frac { 1 } { 3 } m\)
D