#x^2+4y^2-4x+4y+5=0#
#rArr x^2-4x+4+4y^2+4y+1=0#
#rArr (x-2)^2+(2y+1)^2=0#
#rArr (x-2)^2=0 and (2y+1)^2 =0#
#rArr x = 2 and y = -1/2#
Putting these values after solving following equations :-
Given #(x^4-y^4)/(2x^2+xy-y^2). (2x-y)/(xy-y^2) -:(x^2+y^2/y)^2#
#rArr {(x^2)^2 - (y^2)^2}/(2x^2+2xy-xy-y^2). (2x-y)/{y(x-y)} -: (x^2+y)^2#
#rArr [(x^2+y^2)(x^2-y^2)]/[2x(x+y)-y(x+y)].(2x-y)/{y(x-y)}. 1/(x^2+y)^2#
#rArr [(x^2+y^2)(x+y)(x-y)]/[(2x-y)(x+y)]. (2x-y)/{y(x-y)}. 1/(x^2+y)^2#
#rArr (x^2+y^2)/[y(x^2+y)^2]#
#rArr [2^2+(-1/2)^2]/[(-1/2)[2^2+(-1/2)]^2]#
#rArr (4+1/4)/[(-1/2){4-1/2}^2]#
#rArr (17/4)/[(-1/2)(7/2)^2]#
#rArr -17/4. 2/1. 4/49#
#rArr - 34/49#