simplify this: -(n-2)(3n+2)

Its FOIL so -3n^2-2n-6n-4. This simplified is -3n^2-8n-4.

not quite....

-(n-2)(3n+2)
= -(3n^2+2n-6n-4)
= -3n^2 + 4n + 4

To simplify the expression -(n-2)(3n+2), you can follow these steps:

1. Distribute the negative sign to both terms inside the parentheses:
-(n-2) = -n + 2

2. Multiply each term in the first parentheses with each term in the second parentheses:
(-n + 2)(3n + 2) = -n(3n) + (-n)(2) + 2(3n) + 2(2)

3. Simplify by combining like terms:
-3n^2 - 2n + 6n + 4 = -3n^2 + 4n + 4

So, the simplified expression is -3n^2 + 4n + 4.