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The given expression simplifies to 0.

This means the correct answer is the third option: \( \boxed{0} \).

Would you like further details on the simplification process or have any other questions?

Here are 5 related questions you might find helpful:
1. How do you simplify expressions involving fractions with different denominators?
2. What is the significance of factoring when simplifying algebraic expressions?
3. How does symmetry in terms like \(a - b\) and \(b - a\) affect simplification?
4. What techniques can be used to identify common factors in algebraic expressions?
5. How can you check if two complex expressions are equivalent?

**Tip:** Always check for possible factorizations in both the numerator and the denominator to simplify complex fractions more easily.

Simplify the expression: (1 / (a - b)) + (4 / (b - a)) - (8 / (a + b)) - ((11a - 5b) / (b^2 - a^2))

Learn how to simplify complex algebraic expressions involving fractions, factoring, and rational expressions. This step-by-step solution demonstrates key techniques such as recognizing difference of squares and simplifying terms. Suitable for students in Grades 10-12.

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