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The simplified expression is:

\[
\frac{h + 7}{h - 1}
\]

Would you like further explanation or details on how this was simplified? Here are some related questions for deeper understanding:

1. How do you factor quadratic expressions?
2. What are the steps for simplifying complex fractions?
3. Why is factoring useful in simplifying rational expressions?
4. What does it mean if a rational expression is undefined?
5. How can you verify if the simplification is correct?

**Tip:** Always check for restrictions on the variable by identifying values that would make any denominator zero.

(h^2 + 10h + 21) / (h^2 - 7h - 30) ÷ (h^2 - 10h + 9) / (h^2 - 19h + 90)

Learn how to simplify the rational expression involving quadratic factors (h^2 + 10h + 21) ÷ (h^2 - 10h + 9). This solution covers key concepts like factoring quadratics and simplifying complex fractions. Suitable for Grades 8-10.

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