Find the Product and Simplify $\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 8 x + 12 } \cdot \frac { x ^ { 2 } + 14 x + 48 } { x ^ { 2 } + 5 x + 4 }$

Multiple Choice

Find the product and simplify.
- $\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 8 x + 12 } \cdot \frac { x ^ { 2 } + 14 x + 48 } { x ^ { 2 } + 5 x + 4 }$

A) $\frac { ( x + 1 ) ( x + 2 ) } { ( x + 8 ) ( x + 6 ) }$

B) $\frac { ( x + 8 ) ( x + 6 ) } { ( x + 1 ) ( x + 2 ) }$

C) $\frac { 527 } { 45 }$

D) $\frac { ( x + 4 ) ^ { 2 } ( x + 1 ) } { ( x + 8 ) ( x + 6 ) ( x + 2 ) }$