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To subtract the two expressions given in the problem, we'll follow these steps:

### Expressions:
1. First expression: \(-7xy + 3xz + 5yz\)
2. Second expression: \(-9yz + 8xy\)

### Subtraction:
We need to subtract the second expression from the first one:

\[
(-7xy + 3xz + 5yz) - (-9yz + 8xy)
\]

### Distribute the negative sign:
\[
-7xy + 3xz + 5yz + 9yz - 8xy
\]

### Combine like terms:
- \(xy\) terms: \(-7xy - 8xy = -15xy\)
- \(yz\) terms: \(5yz + 9yz = 14yz\)
- \(xz\) term: \(3xz\) remains as it is since there's no other \(xz\) term.

So, the result of the subtraction is:

\[
-15xy + 3xz + 14yz
\]

### Answer:
The correct option is **D**: \(-15xy + 3xz + 14yz\).

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. How do you subtract polynomials with multiple variables?
2. What is the role of distributive property in polynomial subtraction?
3. How do you identify like terms in polynomials?
4. How does combining like terms simplify polynomial subtraction?
5. What is the general approach to polynomial addition?
6. How would the solution change if we were adding instead of subtracting?
7. How do you verify the results after polynomial subtraction?
8. What are common mistakes to avoid in polynomial subtraction?

**Tip:** Always double-check the sign changes when subtracting polynomials to avoid errors.

Learn how to subtract polynomials -7xy + 3xz + 5yz and -9yz + 8xy with a step-by-step solution. This problem covers key algebraic concepts, including polynomials and combining like terms. Suitable for students in Grades 9-12.

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