https://file.aiquickdraw.com/mathbot/file/17258562907655q34qfw8.jpg

Let's simplify the expression provided in the image step-by-step:

The given expression is:
\[
3xyxx^{-2} + 4xy - 6y
\]

First, simplify \( 3xyxx^{-2} \):
- \( xx^{-2} = x^{1 - 2} = x^{-1} \).
- Thus, \( 3xyxx^{-2} = 3xyx^{-1} = 3y \).

Now, substitute this back into the expression:
\[
3y + 4xy - 6y
\]

Now combine like terms:
- \( 3y - 6y = -3y \),
so the expression becomes:
\[
4xy - 3y
\]

Thus, the simplified expression is:
\[
4xy - 3y
\]

The correct answer is **B. 4xy - 3y**.

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Would you like more details or have any questions? Here are five related questions to expand on the topic:

1. How do you combine like terms when simplifying algebraic expressions?
2. What is the general rule for simplifying expressions with exponents?
3. Can you explain how factoring could simplify certain expressions?
4. How does the distributive property apply in more complex algebraic equations?
5. Why is it important to carefully handle exponents in expressions?

**Tip:** Always simplify exponents first when handling terms with powers in algebraic expressions.

Learn how to simplify the algebraic expression 3xyxx^(-2) + 4xy - 6y with detailed steps. This problem involves algebraic simplification, handling exponents, and combining like terms. Suitable for students in Grades 9-11.

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