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Let's simplify the given expression:

\[
(3x^5y^3 - 7x^3y^2 + 11xy) + (-2xy - 4x^5y^3 + 8x^3y^2)
\]

### Step 1: Combine like terms
We need to identify and combine terms with the same powers of \(x\) and \(y\). Let's group the terms accordingly.

1. **Terms with \(x^5y^3\):**
   \[
   3x^5y^3 + (-4x^5y^3) = (3 - 4)x^5y^3 = -x^5y^3
   \]

2. **Terms with \(x^3y^2\):**
   \[
   -7x^3y^2 + 8x^3y^2 = (-7 + 8)x^3y^2 = x^3y^2
   \]

3. **Terms with \(xy\):**
   \[
   11xy + (-2xy) = (11 - 2)xy = 9xy
   \]

### Step 2: Write the simplified expression
Now, combining all the terms:
\[
-x^5y^3 + x^3y^2 + 9xy
\]

This matches option **d** in the choices provided.

### Final Answer:
The simplified expression is \(\boxed{d}\).

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Do you want more details on how we combined the terms or have any questions?

Here are 5 related questions to expand on this topic:
1. How do you determine like terms in polynomial expressions?
2. What is the significance of grouping terms in polynomial addition?
3. How would this process change if there were multiple variables involved?
4. Can you explain how to simplify expressions with negative exponents?
5. How can distributive property help in expanding polynomial expressions?

**Tip:** Always double-check each term's degree when combining like terms to avoid errors in simplification.

Simplify: (3x^5y^3 - 7x^3y^2 + 11xy) + (-2xy - 4x^5y^3 + 8x^3y^2)

Learn how to simplify the polynomial expression (3x^5y^3 - 7x^3y^2 + 11xy) + (-2xy - 4x^5y^3 + 8x^3y^2) by combining like terms. This solution involves key algebraic concepts such as polynomial addition and the associative and commutative properties. Suitable for students in Grades 8-10.

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