Let's simplify the expression:

\[
-11a^4b^9 + 6a^4b^9
\]

### Step 1: Factor out the common terms.
Both terms share \( a^4b^9 \), so we can factor that out:

\[
(-11 + 6)a^4b^9
\]

### Step 2: Simplify the coefficients.
\[
-11 + 6 = -5
\]

### Final Answer:
\[
-5a^4b^9
\]

Would you like any further details or explanations?

Here are some related questions to explore:
1. How do you factor polynomials with multiple variables?
2. What is the general rule for combining like terms?
3. How would this expression change if one of the exponents differed between terms?
4. Can you simplify terms with different exponents on \(a\) or \(b\)?
5. What is the significance of factoring in algebra?

**Tip:** Always look for common factors in algebraic expressions to simplify your work.

This page covers how to simplify the polynomial expression -11a^4b^9 + 6a^4b^9 using algebraic techniques such as factoring and combining like terms. Suitable for students in Grades 8-10.

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