15x to the 4th y+25x cubed y squared -35x squared y

The given expression is:

\[
15x^4y + 25x^3y^2 - 35x^2y
\]

To simplify this expression, we look for common factors in all the terms.

1. The common factor among all the terms is \( 5x^2y \), as it appears in each term.

Now, factor out \( 5x^2y \):

\[
5x^2y(3x^2 + 5xy - 7)
\]

Thus, the factored form of the expression is:

\[
5x^2y(3x^2 + 5xy - 7)
\]

Let me know if you'd like further details or have any questions!

### Related Questions:
1. How do you factor trinomials with higher degrees?
2. Can you explain how to factor expressions with multiple variables?
3. How do you simplify polynomials step by step?
4. What are common factoring techniques used in algebra?
5. How do you solve equations after factoring polynomials?

### Tip:
Always check for the greatest common factor (GCF) before applying any other factoring techniques!

Learn how to factor the polynomial expression 15x^4y + 25x^3y^2 - 35x^2y using the greatest common factor (GCF) and distributive property. This step-by-step solution is ideal for students in Grades 9-11 studying algebra and polynomial factoring techniques.

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