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The given expression is:

\[
\frac{2x^2 + 5xy - 3y^2}{2x^2 - xy}
\]

Would you like me to simplify, factor, or perform any specific operations on this expression?

Let me know if you need further details, and here are some related questions:
1. Would you like to factor the numerator and denominator separately?
2. Should I find specific values of \(x\) and \(y\) for this expression?
3. Are you looking for the domain of this rational expression?
4. Should I perform a partial fraction decomposition?
5. Would you like to explore the behavior of the expression for large or small values of \(x\) or \(y\)?

**Tip**: When simplifying rational expressions, always check if you can factor both the numerator and the denominator.

Simplify the expression: (2x^2 + 5xy - 3y^2) / (2x^2 - xy).

Learn how to simplify the rational expression (2x^2 + 5xy - 3y^2) / (2x^2 - xy) with step-by-step guidance. This problem covers key algebraic concepts, including factoring quadratics and simplifying rational expressions. Suitable for students in Grades 9-12.

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