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Let's work through the problem. We need to subtract the following two polynomials:

\[
(6x^4 + 7x^2 - 6x) - (-9x^3 + 4x^2 - 6x - 5)
\]

### Step-by-step:
1. **Distribute the negative sign** to the second polynomial:
   \[
   = 6x^4 + 7x^2 - 6x - (-9x^3 + 4x^2 - 6x - 5)
   = 6x^4 + 7x^2 - 6x + 9x^3 - 4x^2 + 6x + 5
   \]

2. **Combine like terms**:
   - For \(x^4\): \(6x^4\) (no like term in the second polynomial)
   - For \(x^3\): \(9x^3\) (no like term in the first polynomial)
   - For \(x^2\): \(7x^2 - 4x^2 = 3x^2\)
   - For \(x\): \(-6x + 6x = 0\) (they cancel out)
   - Constant term: \(5\)

Thus, the final result is:
\[
6x^4 + 9x^3 + 3x^2 + 5
\]

### Answer:
This corresponds to **Option B**.

Would you like more details on any part of this solution? 

Here are five related questions:
1. How do you simplify polynomials involving negative signs?
2. How do you combine like terms in polynomials?
3. What happens when two terms cancel out in polynomial subtraction?
4. How does distribution work with subtraction in polynomials?
5. Can you explain how to arrange terms in descending powers?

**Tip**: Always distribute the negative sign carefully to avoid errors when subtracting polynomials!

(6x^4 + 7x^2 - 6x) - (-9x^3 + 4x^2 - 6x - 5)

Learn how to subtract the polynomials (6x^4 + 7x^2 - 6x) and (-9x^3 + 4x^2 - 6x - 5) with a detailed solution. Understand the distributive property, combining like terms, and simplifying polynomials. Suitable for high school students in Grades 9-12.

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