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 = (x2 + 2xy + y2) + (x2 - 2xy + y2) = 2x2 + 2y2
= 2( sqrt(2006) )2 + 2( sqrt(2007) )2
= 2( 2006 ) + 2( 2007 )
= ....
