Question

Find the product of $\frac{k^2+13k+42}{k^2+15k+56}$ and $\frac{k^2+8k}{k^2+11k+30}$:

• A. $\frac{k^2+8k}{k+5}$
• B. $\frac{k}{k+5}$
• C. $\frac{k}{k^2+15k+56}$
• D. $\frac{1}{k+5}$

Answer 1

The correct option is B $\frac{k}{k+5}$

$\left(\frac{k^2+13k+42}{k^2+15k+56}\right)\times \left(\frac{k^2+8k}{k^2+11k+30}\right)$

= $\frac{(k+6)(k+7)}{(k+8)(k+7)}\times \frac{k(k+8)}{(k+5)(k+6)}$

= $\frac{k}{k+5}$