What is the product of the polynomials (x2y+2)(x2−y)?(1 point)

To find the product of the polynomials \((x^2y + 2)(x^2 - y)\), we can use the distributive property (also known as the FOIL method for binomials).

Let's expand the expression:

\[
(x^2y + 2)(x^2 - y)
\]

1. **Distribute \(x^2y\)**:
- \(x^2y \cdot x^2 = x^4y\)
- \(x^2y \cdot (-y) = -x^2y^2\)

2. **Distribute \(2\)**:
- \(2 \cdot x^2 = 2x^2\)
- \(2 \cdot (-y) = -2y\)

Now, combine all the terms:

\[
x^4y - x^2y^2 + 2x^2 - 2y
\]

So the product of the polynomials is:

\[
\boxed{x^4y - x^2y^2 + 2x^2 - 2y}
\]

The correct response from your options is:

**x^4y - x^2y^2 + 2x^2 - 2y**