Perform the indicated operations and simplify the result. Leave the answer in factored form.
-$$\frac { x ^ { 2 } + 11 x + 30 } { x ^ { 2 } + 12 x + 36 } \cdot \frac { x ^ { 2 } + 6 x } { x ^ { 2 } - 3 x - 40 }$$
A) $\frac { x } { x ^ { 2 } + 12 x + 36 }$
B) $\frac { x ( x + 6 ) } { x - 8 }$
C) $\frac { x } { x - 8 }$
D) $\frac { 1 } { x - 8 }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{x}{x-8}$ after factoring and canceling common terms.

Perform the Indicated Operations and Simplify the Result x2+11x+30x2+12x+36⋅x2+6xx2−3x−40\frac { x ^ { 2 } + 11 x + 30 } { x ^ { 2 } + 12 x + 36 } \cdot \frac { x ^ { 2 } + 6 x } { x ^ { 2 } - 3 x - 40 }x2+12x+36x2+11x+30​⋅x2−3x−40x2+6x​

Perform the Indicated Operations and Simplify the Result $\frac { x ^ { 2 } + 11 x + 30 } { x ^ { 2 } + 12 x + 36 } \cdot \frac { x ^ { 2 } + 6 x } { x ^ { 2 } - 3 x - 40 }$