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.

Learn how to simplify the expression 3x^2 - 2 - (-4x - 1) with a detailed step-by-step solution. This problem covers algebraic concepts such as combining like terms and simplifying quadratic expressions. Suitable for students in Grades 7-9.

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