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).

1. First, distribute \(x^2y\):
\[
x^2y \cdot x^2 = x^4y
\]
\[
x^2y \cdot (-y) = -x^2y^2
\]

2. Next, distribute \(2\):
\[
2 \cdot x^2 = 2x^2
\]
\[
2 \cdot (-y) = -2y
\]

Now, combine all these terms:
\[
x^4y - x^2y^2 + 2x^2 - 2y
\]

Thus, the product of the polynomials is:
\[
x^4y - x^2y^2 + 2x^2 - 2y
\]

The correct response from your options is:
**x^4y - x^2y^2 + 2x^2 - 2y** (or "x4y−x2y2+2x2−2y").