Find the product and simplify.
-$\frac { x ^ { 2 } + 13 x + 40 } { x ^ { 2 } + 14 x + 48 } \cdot \frac { x ^ { 2 } + 6 x } { x ^ { 2 } - 3 x - 40 }$
A) $\frac { x } { x - 8 }$
B) $\frac { x ( x + 6 ) } { x - 8 }$
C) $\frac { 1 } { x - 8 }$
D) $\frac { x } { x ^ { 2 } + 14 x + 48 }$

Question

Quizplus · Accepted Answer

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

Find the Product and Simplify x2+13x+40x2+14x+48⋅x2+6xx2−3x−40\frac { x ^ { 2 } + 13 x + 40 } { x ^ { 2 } + 14 x + 48 } \cdot \frac { x ^ { 2 } + 6 x } { x ^ { 2 } - 3 x - 40 }x2+14x+48x2+13x+40​⋅x2−3x−40x2+6x​

Find the Product and Simplify $\frac { x ^ { 2 } + 13 x + 40 } { x ^ { 2 } + 14 x + 48 } \cdot \frac { x ^ { 2 } + 6 x } { x ^ { 2 } - 3 x - 40 }$