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It looks like you've provided an image with three mathematical expressions separated by a semicolon and a "y". The expressions are:

1. \( 3m^2 + 2mn - 5n^2 \)
2. \( 4mn - 2n^2 \)
3. \( m^2 + 3mn - n^2 \)

Would you like me to combine these, solve for something specific, or perform a different operation on them? Please clarify the goal or if you have any specific instructions.

If you'd like a detailed explanation or help in simplifying or solving, feel free to let me know!

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Here are five related questions based on the content provided:

1. How do you simplify the sum of these three expressions?
2. Could you factor any of these expressions completely?
3. What are the common terms across these three expressions?
4. How would the expressions change if you added a constant to both \(m\) and \(n\)?
5. How can you evaluate these expressions for specific values of \(m\) and \(n\)?

**Tip:** When working with polynomial expressions, always check for common factors or like terms across different terms to simplify the process.

Simplify the following expressions: 3m^2 + 2mn - 5n^2 ; 4mn - 2n^2 ; m^2 + 3mn - n^2

Learn how to simplify the polynomial expressions 3m^2 + 2mn - 5n^2, 4mn - 2n^2, and m^2 + 3mn - n^2 using algebraic techniques. This detailed explanation covers adding and subtracting polynomials, identifying like terms, and applying key algebraic rules. Suitable for students in Grades 9-10.

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