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The problem requires factoring the expression \(16a^2b - 18ab^2\).

### Solution:
1. First, identify any common factors in each term.
   - The common factor between \(16a^2b\) and \(18ab^2\) is \(2ab\).

2. Factor out \(2ab\) from the expression:
   \[
   16a^2b - 18ab^2 = 2ab(8a - 9b)
   \]

### Final Answer:
The factored form of the expression is:
\[
2ab(8a - 9b)
\]

Would you like a detailed breakdown of each step, or do you have any specific questions?

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Here are 5 related questions for further exploration:
1. How do you determine the greatest common factor of multiple terms?
2. What are the rules for factoring expressions with multiple variables?
3. How can you verify that your factored expression is correct?
4. What are some techniques for factoring polynomials that don't have common factors?
5. Can all quadratic expressions be factored by finding a common term?

**Tip:** When factoring expressions, always start by looking for common factors before trying more complex methods like grouping or special formulas.

Learn how to factor the expression 16a^2b - 18ab^2 by identifying the greatest common factor. This problem is suitable for students in Grades 7-9 and covers essential algebraic techniques for factoring expressions.

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