The given expression is:

\[
3x^3y + 2y^3
\]

This is a polynomial expression with two terms. Here’s a breakdown:

1. **First term: \(3x^3y\)** – This term consists of \(x\) raised to the power of 3, multiplied by \(y\), and then multiplied by 3.
2. **Second term: \(2y^3\)** – This term consists of \(y\) raised to the power of 3 and then multiplied by 2.

If you want to evaluate this polynomial for specific values of \(x\) and \(y\), please provide the values.

Would you like to proceed with evaluating this expression for given values, or do you need further clarification?

Here are 5 related questions to expand on this:

1. How would you evaluate this polynomial if \(x = 2\) and \(y = -1\)?
2. What happens to the expression if both \(x\) and \(y\) are equal to zero?
3. How can you factorize the polynomial \(3x^3y + 2y^3\)?
4. What is the degree of this polynomial?
5. How would the expression change if you added another term, like \( + 4x^2y^2\)?

**Tip:** To find the degree of a polynomial, add up the powers of all variables in each term and take the largest sum.

Explore the polynomial expression 3x^3y + 2y^3 with a breakdown of its terms and structure. Learn how to analyze and evaluate this expression for specific values of x and y. Suitable for students in Grades 7-9 studying algebraic expressions.

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