Expand and simplify the following: -(x+3)(x+2)
First, distribute the negative sign:
-(x+3)(x+2) = -x(x+2) - 3(x+2)
Now expand each term:
-x(x+2) = -x^2 - 2x
-3(x+2) = -3x - 6
Combine the terms:
-(x+3)(x+2) = -x^2 - 2x - 3x - 6
-(x+3)(x+2) = -x^2 - 5x - 6
Therefore, the expanded and simplified expression is -x^2 - 5x - 6.