Question

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

A) 1/4


B)3/4


C)4

Answer 1

`(3)/(4)`

Explanation:

The given expression is:

`(3m-6)/(4m+12) \cdot (m^2+5m+6)/(m^2-4)`

We factor to get:

`(3(m-2))/(4(m+3)) \cdot ((m+2)(m+3))/((m-2)(m+2))`

Cancel out the common factors to get:

`(3(m-2))/(4(m+3)) \cdot ((m+3))/((m-2))`

We cancel further to get:

`(3(m-2))/(4(m+3)) \cdot((m+3))/((m-2))=(3)/(4)`

The correct chice is B.