The given expression is:

$3x^2 - 2 - (-4x - 1)$

First, simplify the negative sign in front of the parentheses:

$3x^2 - 2 + 4x + 1$

Now, combine like terms:

$3x^2 + 4x - 1$

Thus, the simplified expression is:

$3x^2 + 4x - 1$

Would you like further details or have any questions?

Here are 5 related questions to extend this topic:

1. How do you factor the quadratic expression $3x^2 + 4x - 1$?
2. Can you solve $3x^2 + 4x - 1 = 0$ using the quadratic formula?
3. How do you graph the quadratic equation $y = 3x^2 + 4x - 1$?
4. What is the axis of symmetry for the parabola $y = 3x^2 + 4x - 1$?
5. How can you complete the square for $3x^2 + 4x - 1$?

Tip: Always watch out for negative signs when distributing expressions to avoid errors.