https://file.aiquickdraw.com/mathbot/file/1727812321411dzexsaa8.jpg

Let's analyze and simplify the expression:

\[
6(xy + 3) - 4xy - 4(xy + 3)
\]

### Step 1: Distribute within the parentheses

1. Distribute the **6** into \( (xy + 3) \):
   \[
   6(xy + 3) = 6xy + 18
   \]

2. Leave the middle term as is: 
   \[
   - 4xy
   \]

3. Distribute the **-4** into \( (xy + 3) \):
   \[
   - 4(xy + 3) = -4xy - 12
   \]

### Step 2: Combine all terms together

Now we have:
\[
6xy + 18 - 4xy - 4xy - 12
\]

### Step 3: Simplify by combining like terms

1. Combine the \(xy\) terms:
   \[
   6xy - 4xy - 4xy = -2xy
   \]

2. Combine the constants:
   \[
   18 - 12 = 6
   \]

### Final simplified expression:

\[
-2xy + 6
\]

Thus, the correct answer is **D. \(-2xy + 6\)**.

Would you like more details, or have any questions?

Here are 5 related questions for practice:

1. How would you distribute if the first term were \(7(xy + 4)\) instead of \(6(xy + 3)\)?
2. What happens if you factor the expression after simplifying?
3. Can you explain why it's important to apply the distributive property before combining like terms?
4. How would this problem change if we replaced \(xy\) with a single variable like \(z\)?
5. What steps would be different if the constants inside the parentheses were negative?

**Tip:** Always remember to combine like terms after distributing, as it's key to simplifying expressions.

Remove parentheses and simplify: [6(xy + 3) − 4xy] − 4(xy + 3)

Learn how to simplify the algebraic expression [6(xy + 3) − 4xy] − 4(xy + 3) using the distributive property and combining like terms. Follow a step-by-step solution perfect for students in Grades 7-9.

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