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Given (2013-a)(2011-a)=2012, find the value of (2013-a)2+(2011-a)2.
(2013-A)(2011-a)=2012,
(2013-A)2+(2011-a)2=[(2013-a)-(2011-a)]2+2(2013-a)(2011-a)=4+4024=4028.
Square of 2011-2009×2013
Square of 2011-2009×2013
=2011²-(2011-2)(2011+2)
=2011²-2011²+4
=4
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