Multiply the polynomial expression (x+2)(x−4) .

To multiply the polynomial expression (x+2)(x-4), we need to use the distributive property.

(x+2)(x-4) can be written as:

x(x-4) + 2(x-4)

Now we can simplify each term separately:

x(x) - x(4) + 2(x) - 2(4)

x^2 - 4x + 2x - 8

Simplifying further:

x^2 - 2x - 8

Therefore, (x+2)(x-4) simplifies to x^2 - 2x - 8.