https://file.aiquickdraw.com/mathbot/file/1726167299920wxrzylll.jpg

It appears the text extracted from the image is not fully clear. However, from visual inspection of the image, the equation looks like:

\[
\frac{x^2 + 2x - 3 + (x + 1)\sqrt{x^2 - 9}}{x^2 - 2x - 3 + (x - 1)\sqrt{x^2 - 9}}
\]

Would you like me to solve or simplify this expression? Also, feel free to ask for clarification or further details.

Here are some related questions you might be interested in:
1. What is the domain of the function given by this expression?
2. How do we simplify expressions involving square roots?
3. Can this expression be factored further?
4. What are the critical points of the function represented by this equation?
5. How do you solve equations that involve both rational and radical terms?

**Tip:** Always check if expressions involving square roots have constraints, especially regarding real-valued solutions.

Simplify or solve the following expression: (x^2 + 2x - 3 + (x + 1)√(x^2 - 9)) / (x^2 - 2x - 3 + (x - 1)√(x^2 - 9)).

This webpage provides a detailed solution for simplifying a complex rational expression that involves quadratic terms and square roots. Key algebraic concepts like radical simplification, rational expressions, and factorization are explored. Suitable for students in Grades 9-12.

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