Find the Product and Simplify $\frac { x ^ { 2 } - 16 x + 55 } { x ^ { 2 } - 16 x + 48 } \cdot \frac { x ^ { 2 } - 15 x + 36 } { x ^ { 2 } - 20 x + 99 }$

Find the product and simplify.
- $\frac { x ^ { 2 } - 16 x + 55 } { x ^ { 2 } - 16 x + 48 } \cdot \frac { x ^ { 2 } - 15 x + 36 } { x ^ { 2 } - 20 x + 99 }$

A) $\frac { ( x - 5 ) ( x - 3 ) } { ( x - 4 ) ( x - 9 ) }$
B) $\frac { ( x - 5 ) } { ( x - 9 ) }$
C) $\frac { ( x + 5 ) ( x + 3 ) } { ( x + 4 ) ( x + 9 ) }$
D) $\frac { \left( x ^ { 2 } - 16 x + 55 \right) \left( x ^ { 2 } - 15 x + 36 \right) } { \left( x ^ { 2 } - 16 x + 48 \right) \left( x ^ { 2 } - 20 x + 99 \right) }$

Correct Answer:

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