Question

Which is the product of the polynomial expressions (xy+1)(x−3)
?(1 point)

Answer 1

To find the product of the polynomial expressions \((xy + 1)(x - 3)\), we can use the distributive property (also known as the FOIL method for binomials).

Here’s how it works step by step:

1. Distribute \(xy\) to both terms in \((x - 3)\):
\[
xy(x) + xy(-3) = xy^2 - 3xy
\]

2. Distribute \(1\) to both terms in \((x - 3)\):
\[
1(x) + 1(-3) = x - 3
\]

3. Combine all the results:
\[
(xy + 1)(x - 3) = xy^2 - 3xy + x - 3
\]

Thus, the product of the polynomial expressions \((xy + 1)(x - 3)\) is:
\[
xy^2 - 3xy + x - 3
\]