Question

Which expressions are equivalent to 12 - 14/3m + 2/3m ?

A) 8m
B)12 - 4m
C) -4(3 + m)
D) -4(m - 3)

Answer 1

ANSWER

The correct answers are option B and D.


`12 - 4m`

Step-by-step explanation

The given expression is


`12 - (14)/(3) m + (2)/(3)m`

We need to simplify the above expression in order to determine the option that is equivalent to it.

The least common denominator for the last two fractions is 3.

This implies that,


`= 12 + ( - 14m + 2m)/(3)`
We simplify to obtain,


`= 12 + ( - 12m)/(3)`

This further simplifies to give us,


`12 - 4m`

This is option B.


When we further factor -4, we get,



`-4(m-3)`

This is option D.