Let's simplify the given expression:

\[
-4p^2 + 3pq - 2 - 6p^2 + 8pq - 3
\]

First, group the like terms together:

\[
(-4p^2 - 6p^2) + (3pq + 8pq) + (-2 - 3)
\]

Now, simplify each group:

1. For the \(p^2\) terms: \(-4p^2 - 6p^2 = -10p^2\)
2. For the \(pq\) terms: \(3pq + 8pq = 11pq\)
3. For the constant terms: \(-2 - 3 = -5\)

So, the simplified expression is:

\[
-10p^2 + 11pq - 5
\]

Would you like any more details or have any questions?

Here are 5 related questions you might find interesting:
1. How would the expression change if there were a different sign on the \(pq\) terms?
2. What happens if you substitute specific values for \(p\) and \(q\) in the simplified expression?
3. How does the expression simplify if the coefficients of \(pq\) were negative?
4. How would you factor the expression \( -10p^2 + 11pq - 5 \)?
5. What is the degree of the simplified polynomial?

**Tip:** Always remember to combine like terms carefully by paying attention to both the coefficients and the signs!

Simplify the polynomial expression -4p² + 3pq - 2 - 6p² + 8pq - 3 by combining like terms. This problem involves algebraic concepts like polynomial simplification and is suitable for students in Grades 7-9. Detailed step-by-step solutions are provided.

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