That's incorrect.

Divide and simplify.  Make sure that all common factors have been cancelled and that the remaining factors are all represented in the fraction.  Do not multiply the factors together.

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The simplified expression is:

\[
\frac{(x - 5)(x + 5)}{8} \cdot \frac{(x - 1)}{(x + 5)(x + 5)} = \frac{(x - 5)(x - 1)}{8(x + 5)}
\]

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Here are 5 related questions that might interest you:

1. How can you quickly identify common factors in rational expressions?
2. What are the steps for simplifying complex fractions?
3. How does factoring help in simplifying division of rational expressions?
4. What techniques are best for dividing polynomials?
5. How can you check your simplified answer for accuracy?

**Tip:** Always cancel out the common factors across the numerator and denominator to fully simplify rational expressions.

Learn how to simplify the given rational expression ((x - 5)(x + 5)) / 8 * (x - 1) / ((x + 5)(x + 5)). This problem covers key algebraic concepts such as factoring and simplification of rational expressions. Suitable for high school students.

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