Factor this expression completely. x2 - r2

This can be factored as a difference of two squares. When you have a difference of two squares (a² - b²), it will factor out into (a + b) (a - b).

(x² - r²)

(x + r) (x - r)

You can multiply the two groups to double check it.

(x + r) (x - r)

x² - rx + rx - r²

x² - r²