Question 21454
Ummm...let's see, if we multiply your factors together, we should get the original expression, right?

{{{(2(2m*(3))(2(2m*(3)))) = (2(6m))(2(6m))}}} = {{{(12m)(12m) = 144m^2}}}
We didn't get the original expression, so your factors don't work!

Here's how it should go.
Factor:

{{{4m^2 - 9m - 9}}}
Your factors will have the form of: (am + 3)(bm - 3), why? because:

(-3)(3) = -9 This will get the constant term in the equation.
Now you need (a)(b) to = 4 and you need (a)(-3)+(b)(3) = -9, the x-coefficient.
Try:
a = 4 and b = 1:  (4)(1) = 4 and (4)(-3)+(1)(3) = -12+3 = -9 So this works.

The factors are:
{{{4m^2 - 9m - 9 = (4m + 3)(m - 3)}}}

Check:
Multiply the factors using FOIL.
{{{(4m + 3)(m - 3) = 4m^2 - 12m + 3m - 9}}} = {{{4m^2 - 9m - 9}}}