What is the product of the polynomials (x2y+2)(x2−y) ?(1 point)

To find the product of the polynomials \((x^2y + 2)(x^2 - y)\), you can use the distributive property (also known as the FOIL method for binomials).

Here’s how you can do it step-by-step:

1. Distribute each term in the first polynomial to each term in the second polynomial:

\[
(x^2y + 2)(x^2 - y) = x^2y \cdot x^2 + x^2y \cdot (-y) + 2 \cdot x^2 + 2 \cdot (-y)
\]

2. Calculate each of the products:

- \(x^2y \cdot x^2 = x^{2+2}y = x^4y\)
- \(x^2y \cdot (-y) = -x^2y^2\)
- \(2 \cdot x^2 = 2x^2\)
- \(2 \cdot (-y) = -2y\)

3. Combine all these results:

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

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

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