Perform the Indicated Operation $\frac { 8 x ^ { 2 } + 2 x - 3 } { 8 x ^ { 2 } - 2 } \div \frac { 12 x + 9 } { 16 x ^ { 2 } + 12 x + 2 }$

Multiple Choice

Perform the indicated operation. Simplify, if possible. $\frac { 8 x ^ { 2 } + 2 x - 3 } { 8 x ^ { 2 } - 2 } \div \frac { 12 x + 9 } { 16 x ^ { 2 } + 12 x + 2 }$

A) $\frac { 3 ( 4 x + 3 ) ^ { 2 } } { 4 ( 2 x + 1 ) ^ { 2 } ( 4 x + 1 ) }$
B) $\frac { 4 x + 1 } { 3 }$
C) $\frac { ( 4 x - 3 ) ( 2 x + 1 ) ( 4 x + 1 ) } { 3 ( 2 x - 1 ) ( 4 x + 3 ) }$
D) $\frac { ( 4 x - 3 ) ( 4 x - 1 ) } { 3 ( 4 x + 3 ) }$