https://file.aiquickdraw.com/mathbot/file/1730325941862ks4omm5s.jpg

Here are the expressions from the image for easy reference:

32. \(4y^2 - 17y + 15\)

34. \(25u^2 - 20u + 4\)

36. \(4r^2 + 16rs - 10s^2\)

38. \(4x^2 + 3xy - 15y^2\)

40. \(81uv^3 + 3u^4\)

42. \(x^6 - 64y^6\)

44. \(z^4 - 10z^2 + 9\)

Please let me know if you would like to solve or factor any specific expression(s) from the list. 

Would you like detailed steps, or have any specific questions?

### Related Questions
1. How do we factor trinomials like \(4y^2 - 17y + 15\)?
2. What is the process for simplifying expressions with multiple variables, such as \(4x^2 + 3xy - 15y^2\)?
3. How can we factor higher-degree polynomials, such as \(x^6 - 64y^6\)?
4. What are the techniques for working with expressions involving powers, like \(81uv^3 + 3u^4\)?
5. Can we use the difference of squares technique to factor expressions like \(z^4 - 10z^2 + 9\)?

### Tip
When factoring polynomials, check for common factors first before using techniques like grouping, difference of squares, or trinomial factoring.

What are the expressions provided in the list? Can you provide the steps for solving or factoring any of these expressions?

Explore step-by-step solutions for factoring polynomial expressions, quadratic equations, and the difference of squares. This guide covers algebraic techniques suitable for students in Grades 9-12.

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