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−x2y2+2x2−2y x superscript 4 baseline y minus x squared y squared plus 2 x squared minus 2 y x4y−xy+x2y x superscript 4 baseline y minus x y plus x squared y x4y+x2−2y

To find the product of the polynomials \((x^2y + 2)(x^2 - y)\), we can use the distributive property (FOIL method) to expand the expression.

Let's break it down step-by-step:

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

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

Now, combine all the terms from the distribution:

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

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

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

Among the options provided, the correct response is:

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