Simplify the Rational Expression $$\frac { x ^ { 2 } + 14 x + 45 } { x ^ { 2 } + 13 x + 40 } \cdot \frac { x ^ { 2 } + 17 x + 72 } { x ^ { 2 } + 18 x + 81 }$$

Multiple Choice

Simplify the rational expression. (Assume the denominator is nonzero.)
- $$\frac { x ^ { 2 } + 14 x + 45 } { x ^ { 2 } + 13 x + 40 } \cdot \frac { x ^ { 2 } + 17 x + 72 } { x ^ { 2 } + 18 x + 81 }$$

A) $\frac { x + 8 } { x + 9 }$

B) $\frac { x + 9 } { x + 8 }$

C) $\frac { 1 } { x + 9 }$

D) 1