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 distribute each term in the first polynomial by each term in the second polynomial:

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

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

Now, combine all these results:

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

Now, let's match this to the the provided response choices. The correct option is:

**x^4y − x^2y^2 + 2x^2 − 2y**.

So the final answer is:

**x^4y − x^2y^2 + 2x^2 − 2y**.