how do i factor (x + 2)^2 - (y - 2)^2???

The factor of the difference of two squares (x + 2)² - (y - 2)² is (x + y)(x - y + 4).Difference of two squaresIf for any two squares say a² and b², then their difference a² - b² = (a + b)(a - b).Given the two squares (x + 2)² and (y - 2)²then their difference will yeild the factors derived as follows;(x + 2)² - (y - 2)² = [(x + 2) + (y - 2)][(x + 2) - (y - 2)]open brackets(x + 2)² - (y - 2)² = (x + 2 + y - 2)(x + 2 - y + 2)collect like terms(x + 2)² - (y - 2)² = (x + y + 2 - 2)(x - y + 2+ 2)so(x + 2)² - (y - 2)² = (x + y)(x - y + 4)Thus, by application of the rule of difference of two squares, we have the factors of (x + 2)² - (y - 2)² to be (x + y 2 - 2) and (x - y + 2+ 2).Know more about difference of two squares here: https://brainly.com/question/9239489#SPJ1