Perform the Indicated Operation and Simplify If Possible $\frac { x ^ { 2 } - 25 } { x ^ { 2 } + 5 x } \div \frac { x ^ { 2 } + 5 x + 1 } { 3 x - 18 }$

Perform the indicated operation and simplify if possible.
- $\frac { x ^ { 2 } - 25 } { x ^ { 2 } + 5 x } \div \frac { x ^ { 2 } + 5 x + 1 } { 3 x - 18 }$

A) $\frac { ( x + 5 ) \left( x ^ { 2 } + 5 x + 1 \right) } { 3 x ( x - 6 ) }$
B) $\frac { 3 ( x - 5 ) ( x - 6 ) } { x \left( x ^ { 2 } + 5 x + 1 \right) }$
C) $\frac { ( x - 5 ) \left( x ^ { 2 } + 5 x + 1 \right) } { 3 x ( x - 6 ) }$
D) $\frac { 3 ( x + 5 ) ( x - 6 ) } { x \left( x ^ { 2 } + 5 x + 1 \right) }$

Correct Answer:

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