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The given expression is:

\[
(x^2 + 6xy - 3y^2) + (2x^2 + 5xy - 3y^2)
\]

Let's simplify it step by step:

1. **Combine like terms**:
   - Combine the \(x^2\) terms: \(x^2 + 2x^2 = 3x^2\)
   - Combine the \(xy\) terms: \(6xy + 5xy = 11xy\)
   - Combine the \(y^2\) terms: \(-3y^2 - 3y^2 = -6y^2\)

Thus, the simplified expression is:

\[
3x^2 + 11xy - 6y^2
\]

Would you like further details on how the terms were combined, or any specific explanation?

Here are some related questions you might find helpful:
1. How do you identify like terms in a polynomial?
2. Can you factor the expression \(3x^2 + 11xy - 6y^2\)?
3. What are the general steps for simplifying polynomial expressions?
4. How does this simplification change if the signs of some terms are reversed?
5. How do you visualize a quadratic expression in two variables?

**Tip:** Always group like terms (with the same variables and exponents) when simplifying polynomials.

(x^2 + 6xy - 3y^2) + (2x^2 + 5xy - 3y^2) =

Learn how to simplify the polynomial expression (x^2 + 6xy - 3y^2) + (2x^2 + 5xy - 3y^2) by combining like terms. This problem focuses on key algebraic concepts and is suitable for students in Grades 8-10.

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