Select the factors of xy 4x 2y 8

To factor the expression xy + 4x + 2y + 8, we can look for common factors and use grouping.

First, we can group the terms:

• (xy + 4x) + (2y + 8)

Now, we can factor out the common terms from each group:

• From the first group (xy + 4x), we can factor out x: x(y + 4).
• From the second group (2y + 8), we can factor out 2: 2(y + 4).

Now, the expression looks like this:

• x(y + 4) + 2(y + 4)

We can see that (y + 4) is a common factor:

• (y + 4)(x + 2)

So, the fully factored form of the original expression is:

• (y + 4)(x + 2)

In summary, the factors of the expression xy + 4x + 2y + 8 are (y + 4) and (x + 2).