Find the Indicated Product $\left( 3 x ^ { n } - 8 \right) ^ { 2 }$

Multiple Choice

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( 3 x ^ { n } - 8 \right) ^ { 2 }$

A) $9 x ^ { 2 n } + 48 x ^ { n } + 64$
B) $9 x ^ { n } { } ^ { 2 } - 48 x ^ { n } + 64$
C) $9 x ^ { 2 n } - 48 x ^ { n } - 64$
D) $9 x ^ { 2 n } - 48 x ^ { n } + 64$
E) $9 x ^ { n } { } ^ { 2 } + 48 x ^ { n } - 64$