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 two-binomial products).

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

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

Now, combine all the results:
\[
x^4y - x^2y^2 + 2x^2 - 2y
\]

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

The correct response from your options is:
**x4y−x2y2+2x2−2y**