Perform the Indicated Operation $$\left( \frac { 5 x } { 2 } \right) ^ { 2 } \div \left( \frac { x ^ { 2 } } { x + 1 } - \frac { 1 } { x + 1 } \right)$$

Multiple Choice

Perform the indicated operation. Simplify if possible.
- $$\left( \frac { 5 x } { 2 } \right) ^ { 2 } \div \left( \frac { x ^ { 2 } } { x + 1 } - \frac { 1 } { x + 1 } \right)$$

A) $\frac { 25 x ^ { 2 } ( x - 1 ) } { 4 }$
B) $\frac { 25 x ^ { 2 } } { 4 ( x - 1 ) }$
C) $\frac { 5 x ^ { 2 } } { 2 ( x - 1 ) }$
D) $\frac { 5 x ^ { 2 } ( x - 1 ) } { 2 }$