Perform the Indicated Operation $\left( 4 x ^ { 2 } - 25 \right) \div \frac { 2 x ^ { 2 } - 3 x - 5 } { x + 4 } \div ( 2 x + 5 )$

Multiple Choice

Perform the indicated operation. Simplify, if possible. $\left( 4 x ^ { 2 } - 25 \right) \div \frac { 2 x ^ { 2 } - 3 x - 5 } { x + 4 } \div ( 2 x + 5 )$

A) $\frac { ( 2 x + 5 ) ^ { 2 } ( x + 4 ) } { x + 1 }$
B) $\frac { x + 1 } { x + 4 }$
C) $\frac { x + 4 } { x + 1 }$
D) $\frac { ( x + 4 ) } { ( 2 x - 5 ) ( 2 x + 5 ) ( x - 5 ) }$