Math Problem Statement

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

Solution

The simplified expression is:

u(8u2v4−16uv2+17)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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Simplification
Combining Like Terms

Formulas

Distributive Property
Combining Like Terms

Theorems

Basic Algebraic Operations

Suitable Grade Level

Grades 9-12

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