Factor.
3 x Superscript 4 Baseline y cubed minus 15 x cubed y Superscript 4

The given expression is:

\[
3x^4y^3 - 15x^3y^4
\]

### Step 1: Factor out the greatest common factor (GCF)
First, find the GCF of the two terms:

- The GCF of \(3\) and \(15\) is \(3\).
- The lowest power of \(x\) is \(x^3\).
- The lowest power of \(y\) is \(y^3\).

So, the GCF is \(3x^3y^3\).

### Step 2: Factor the GCF out of the expression:
\[
3x^3y^3(x - 5y)
\]

Thus, the factored form of the expression is:

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

Do you need more details or have any questions?

Here are 5 related questions to expand on this:
1. How do you factor polynomials with multiple variables?
2. What is the process to find the greatest common factor (GCF) of two terms?
3. How do you factor out terms involving both variables and coefficients?
4. What are the steps for factoring expressions involving powers and variables?
5. How do you check if a polynomial is factored correctly?

**Tip**: Always double-check your factored expression by multiplying it back out to ensure it equals the original expression.

Learn how to factor the expression 3x^4y^3 - 15x^3y^4 using the greatest common factor (GCF) method. This problem demonstrates key algebraic concepts and techniques for factoring polynomials involving multiple variables. Suitable for students in Grades 9-10.

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