Multiply as indicated.
-$$\frac { x ^ { 2 } + 7 x + 12 } { x ^ { 2 } + 9 x + 20 } \cdot \frac { x ^ { 2 } + 5 x } { x ^ { 2 } - 3 x - 18 }$$
A) $\frac { x } { x ^ { 2 } + 9 x + 20 }$
B) $\frac { x } { x - 6 }$
C) $\frac { x ^ { 2 } + 5 x } { x - 6 }$
D) $\frac { 1 } { x - 6 }$

Question

Quizplus · Accepted Answer

First, factor all the polynomials in the numerators and denominators: $\frac{(x+4)(x+3)}{(x+5)(x+4)} \cdot \frac{x(x+5)}{(x+3)(x-6)}$. Canceling common factors, we're left with $\frac{x}{x-6}$.

Multiply as Indicated x2+7x+12x2+9x+20⋅x2+5xx2−3x−18\frac { x ^ { 2 } + 7 x + 12 } { x ^ { 2 } + 9 x + 20 } \cdot \frac { x ^ { 2 } + 5 x } { x ^ { 2 } - 3 x - 18 }x2+9x+20x2+7x+12​⋅x2−3x−18x2+5x​

Multiply as Indicated $\frac { x ^ { 2 } + 7 x + 12 } { x ^ { 2 } + 9 x + 20 } \cdot \frac { x ^ { 2 } + 5 x } { x ^ { 2 } - 3 x - 18 }$