Given (2013-a)(2012-a)=2011 then (2013-a)^2+(2012-a)^2

(2013-A)^2+(2012-a)^2
=[(2013-A)-(2012-a)]2+2(2013-a)(2012-a)
=(2013-A-2012+a)2+2x2011
=1+4022
=4023
If there's anything you do n' t understand,

(2013-A)^2+(2012-a)^2
=[(2013-A)-(2012-a)]2+2(2013-a)(2012-a)
=(2013-A-2012+a)2+2x2011
=1+4022
=4023
If you have any questions you can ask,

Secondary power of 2011*2013-2012

Use square difference formula
2011*2013-2012²
=(2012-1)(2012+1)-2012²
=2012²-1²-2012²
=-1

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