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It looks like you've uploaded an image with some mathematical expressions. Let me process and extract the contents from it so I can assist you better.Here are the mathematical expressions from the image you provided:

The task seems to be simplifying the following expressions:

1. \( \frac{2x + 6}{x^2 - x - 6} \)
2. \( \frac{x + 2}{x^2 + 2x - 8} \)
3. \( \frac{4x - 2}{4x^2 - 9} \)
4. \( \frac{x^2 + 4x + 4}{x^2 - 3x + 2} \)
5. \( \frac{x^2 - 4}{x^2 + x - 6} \)

Would you like me to simplify each of these expressions step by step?

Simplify the following expressions:
1. \( \frac{2x + 6}{x^2 - x - 6} \)
2. \( \frac{x + 2}{x^2 + 2x - 8} \)
3. \( \frac{4x - 2}{4x^2 - 9} \)
4. \( \frac{x^2 + 4x + 4}{x^2 - 3x + 2} \)
5. \( \frac{x^2 - 4}{x^2 + x - 6} \)

Learn how to simplify algebraic rational expressions like \( \frac{2x + 6}{x^2 - x - 6} \) and others by factoring quadratics and applying simplification techniques. Suitable for Grades 9-11 students.

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