If x = \sqrt{2006} and y = \sqrt{2007}, what is the simplified value of (x + y)^2 + (x - y)^2?
(x + y)^2 + (x - y)^2 =
x^2 + y^2 + 2 xy + x^2 + y^2 - 2xy =
2x^2 + 2y^2 =
2 ( 2006) + 2 (2007) = <======== you can finish