Question

Multiply: (x - 2)(x + 2)
$(x - 2)(x + 2)$

Answer 1

The product of those polynomials would be x^2 - 4.

Answer 2

This is a simple difference of squares, and you can just use FOIL, or just memorize the formula for these, specific, difference of square problems. Here's the formula:
$(a+b)(a-b) = a^2-b^2$

So, if we apply that formula to this, we have:
$(x+2)(x-2) = x^2-4$

If you want, you can check by using FOIL, which is what most people use.