Question

How do you combine like terms in `(2m^{2} + m + 12) - ( 3m^{2} + 4m - 6)`?

Answer 1

`-m^2 - 3m + 18`

Explanation:

Distribute the negative throughout the second set of parenthesis
`2m² + m +12 - 3m² - 4m +6`

Combine like terms, starting with all of the m²
`2m² - 3m² = -m²`

Then combine all of the m's
`m - 4m = -3m`

Combine all of the whole numbers
`12 + 6= 18`

`-m^2 - 3m + 18`