25(x-y)^2+10(y-x)+1=
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25(x-y)^2+10(y-x)+1=25(x-y)^2+10(y-x)+1=25(x-y)^2+10(y-x)+1=25(x-y)^2+10(y-x)+1=[5(x-y)]^2-2*5(x-y)+
25(x-y)^2+10(y-x)+1=
25(x-y)^2+10(y-x)+1=
25(x-y)^2+10(y-x)+1=
25(x-y)^2+10(y-x)+1=
[5(x-y)]^2-2*5(x-y)+1=
[5(x-y)-1]^2=
(5x-5y-1)(5x-5y-1)