From the image, the task is to identify the correct mathematical expression that shows the factorization of 30 with parentheses as explained in the provided breakdown.

Explanation:

• The problem begins by factoring $30 = 3 \times 10$.
• Then it further breaks $10$ into $5 \times 2$, so $30 = 3 \times (5 \times 2)$.
• Finally, parentheses are rearranged: $30 = (3 \times 5) \times 2$.

This matches the logic of factoring numbers, and the correct choice from the options must reflect this grouping.

Correct Answer:

The correct expression is $(3 \times 5) \times 2$. Among the provided choices, the best match is $15 \times 2$ because $3 \times 5 = 15$.

Let me know if you'd like further explanation!

Related Questions:

1. What are the factor pairs of 30, and how are they determined?
2. Why does $3 \times (5 \times 2) = (3 \times 5) \times 2$ follow the associative property of multiplication?
3. How can you use prime factorization to break numbers into factors?
4. What is the importance of parentheses in mathematical expressions?
5. Can we apply the same method to a number like 60? How?

Tip:

Always group numbers in parentheses to make multi-step factorizations clearer! This helps when dealing with larger numbers.