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

 Apr 8, 2022
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(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 )

     =  ....

 Apr 8, 2022

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