(х-2)(2х+1)

To multiply these two binomials, we will use the FOIL method.

FOIL stands for:

• First: Multiply the first terms of each binomial together
• Outer: Multiply the outer terms of each binomial together
• Inner: Multiply the inner terms of each binomial together
• Last: Multiply the last terms of each binomial together

So, let's go step by step:

First term: (х) * (2х) = 2х^2 Outer term: (х) * (1) = х Inner term: (-2) * (2х) = -4х Last term: (-2) * (1) = -2

Now we have:

2х^2 + х - 4х - 2

Next, combine like terms:

2х^2 - 3х - 2

Therefore, the product of (х-2)(2х+1) is 2х^2 - 3х - 2.