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The given expression simplifies to \( 2 \). Thus, the correct answer is:

**(B) 2**

Would you like a detailed explanation, or do you have any questions? 

Here are 5 related questions to explore:
1. How do you expand binomial expressions like \((a + b)^3\)?
2. What are some general simplification techniques for cubic polynomials?
3. How does factorization help in simplifying algebraic expressions?
4. What is the role of symmetry in expressions involving multiple variables like \(a\), \(b\), and \(c\)?
5. Can this simplification method be applied to other types of algebraic fractions?

**Tip:** When simplifying algebraic fractions, always look for common patterns like binomial expansions or factorizations!

Simplify the expression: ((a + b)^3 + (b + c)^3 + (c + a)^3 - 3(a + b)(b + c)(c + a)) / (a^3 + b^3 + c^3 - 3abc)

Learn how to simplify a complex algebraic expression involving three variables. This problem uses the binomial expansion and factorization of cubic polynomials. Suitable for high school students in Grades 9-12.

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