Question

Which expression is equivalent to 3 (m + 2) – 6 (2m + 4)? 15m + 30 15m + 3 - 9m - 18 -9m + 30

Answer 1

To expand and then simplify the expression:

`3(m+2)-6(2m+4)`

We can follow the next steps:

1. Apply the distributive property:

`3m+3\cdot2-12m-6\cdot4=3m+6-12m-24`

Then, we need to algebraically sum the like terms:

`3m-12m+6-24=-9m-18`

Then, the equivalent expression for that given in the question is -9m - 18. It could be also -9(m+2) (using -9 as a common factor).