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 compute the product step by step:

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 from \(x^2y\) and \(2\):

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

Thus, the product of the polynomials is:

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

From the choices given, the correct response is:

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