Question

How do you simplify `3m(3m+6)-3(m^2+4m+1)`?

Answer 1

See the entire simplification process below:

Explanation:

First expand the terms within the parenthesis by multiplying each term in the parenthesis by the term outside of the parenthesis. Be careful to manage the sign of each individual term correctly:

`color(red)(3m)(3m + 6) - color(blue)(3)(m^2 + 4m + 1)`

`(color(red)(3m) * 3m) + (color(red)(3m) * 6) - (color(blue)(3) * m^2) - (color(blue)(3) * 4m) - (color(blue)(3) * 1)`

`9m^2 + 18m - 3m^2 - 12m - 3`

Next, group like terms together:

`9m^2 - 3m^2 + 18m - 12m - 3`

Now, combine like terms:

`(9 - 3)m^2 + (18 - 12)m - 3`

`6m^2 + 6m - 3`