Find the product or quotient.
-$$\frac { k ^ { 2 } + 11 k + 30 } { k ^ { 2 } + 14 k + 48 } \cdot \frac { k ^ { 2 } + 8 k } { k ^ { 2 } + 12 k + 35 }$$
A) $\frac { \mathrm { k } ^ { 2 } + 8 \mathrm { k } } { \mathrm { k } + 7 }$
B) $\frac { 1 } { \mathrm { k } + 7 }$
C) $\frac { k } { k ^ { 2 } + 14 k + 48 }$
D) $\frac { \mathrm { k } } { \mathrm { k } + 7 }$

Question

Quizplus · Accepted Answer

The expression simplifies by factoring each quadratic and canceling common factors, resulting in $\frac{k}{k+7}$.

Find the Product or Quotient k2+11k+30k2+14k+48⋅k2+8kk2+12k+35\frac { k ^ { 2 } + 11 k + 30 } { k ^ { 2 } + 14 k + 48 } \cdot \frac { k ^ { 2 } + 8 k } { k ^ { 2 } + 12 k + 35 }k2+14k+48k2+11k+30​⋅k2+12k+35k2+8k​

Find the Product or Quotient $\frac { k ^ { 2 } + 11 k + 30 } { k ^ { 2 } + 14 k + 48 } \cdot \frac { k ^ { 2 } + 8 k } { k ^ { 2 } + 12 k + 35 }$