text: # Verify that xy[(x+y)(1/x+1/y) -4] = ( x-y)²
  
  1
  by samyukthasg
  
  ## Answers
  
  2015-06-24T17:25:51+05:30
  Taking L.H.S.
  =xy[(x+y)(x+y/xy)-4]
  =xy[(x+y)^2-4xy]/xy
  =(x+y)^2 -4xy
  =x^2 +y^2 +2xy-4xy
  =x^+y^2 -2xy
  =(x-y)^2
  =R.H.S.
  Hence proved.
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