What is the product of the polynomials (x2y+2)(x2−y) ?(1 point) Responses x3y−x2y2+2x2−2y x cubed y minus x squared y squared plus 2 x squared minus 2 y x4y+x2−2y x superscript 4 baseline y plus x squared minus 2 y x4y−xy+x2y x superscript 4 baseline y minus x y plus x squared y x4y−x2y2+2x2−2y

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 calculate step by step:

1. Distribute \(x^2y\) to each term in the second polynomial:
- \(x^2y \cdot x^2 = x^4y\)
- \(x^2y \cdot (-y) = -x^2y^2\)

2. Distribute \(2\) to each term in the second polynomial:
- \(2 \cdot x^2 = 2x^2\)
- \(2 \cdot (-y) = -2y\)

Now, we combine all of these results together:

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

Thus, the product of the polynomials \((x^2y + 2)(x^2 - y)\) is:

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

So the correct answer from the provided options is:

**\(x^4y - x^2y^2 + 2x^2 - 2y\)**.