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The expression to factor is:

\[
x(3y - 5) + 3(3y - 5)
\]

### Factoring Process:
1. Notice that both terms contain the common factor \( (3y - 5) \).
2. We can factor out \( (3y - 5) \) from both terms:

\[
x(3y - 5) + 3(3y - 5) = (3y - 5)(x + 3)
\]

Thus, the factored form of the expression is:

\[
(3y - 5)(x + 3)
\]

Would you like more details on any part of the solution?

Here are 5 related questions to consider:
1. How do you identify common factors in more complex expressions?
2. What happens if you don't factor out the common terms correctly?
3. Can you use the distributive property to verify your factored expression?
4. How does factoring help in solving algebraic equations?
5. What are some common factoring mistakes to avoid?

**Tip:** Always check for common factors before expanding or simplifying an expression. This can save time and reduce errors!

Factor the expression x(3y - 5) + 3(3y - 5).

This page provides a detailed step-by-step tutorial on how to factor algebraic expressions by identifying and factoring out common factors. The example used involves the expression x(3y - 5) + 3(3y - 5), suitable for middle and high school students.

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