Question

Perform the indicated operation. 3m-6/4m+12*m^2+5m+6/m^2-4

Answer 1

Answer:

$\frac{3}{4}$

Step-by-step explanation:

The given expression is:

$\frac{3m-6}{4m+12} \cdot \frac{m^2+5m+6}{m^2-4}$

We factor to get:

$\frac{3(m-2)}{4(m+3)} \cdot \frac{(m+2)(m+3)}{(m-2)(m+2)}$

Cancel out the common factors to get:

$\frac{3(m-2)}{4(m+3)} \cdot \frac{(m+3)}{(m-2)}$

We cancel further to get:

$\frac{3(m-2)}{4(m+3)} \cdot\frac{(m+3)}{(m-2)}=\frac{3}{4}$

The correct chice is B.