https://file.aiquickdraw.com/mathbot/file/1726356216397xihc3qxe.jpg

The simplified expression is:

\[
u(8u^2v^4 - 16uv^2 + 17)
\]

Would you like further details or explanations? Here are some related questions you might want to explore:

1. How do we expand and combine like terms in polynomial expressions?
2. What are the basic rules for simplifying algebraic expressions?
3. How can the distributive property be applied to more complex expressions?
4. What is the role of factoring in simplifying expressions like this?
5. How do we deal with expressions that contain multiple variables and exponents?

**Tip:** When simplifying, always look for like terms—terms that have the same variables raised to the same powers.

Simplify the expression: (3u^3v^4 + 9u) - (3u^3v^4 - 8u + 8u^2v^2) + (-8u^2v^2 + 8u^3v^4)

Learn how to simplify the polynomial expression (3u^3v^4 + 9u) - (3u^3v^4 - 8u + 8u^2v^2) + (-8u^2v^2 + 8u^3v^4) by combining like terms and applying basic algebraic operations. This problem is suitable for students in Grades 9-12 and covers key concepts in polynomial simplification.

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