x^2+4y^2-4x+4y+5=0,求[(x^4-y^4)⼀xy]*[(2x^2-xy)⼀(xy-y^2)]⼀{(x^2+y^2)⼀y}^2.

2025-05-21 08:29:55
推荐回答(1个)
回答(1):

x^2+4y^2-4x+4y+5=0
(x-2)^2+(2y+1)^2=0
所以有x-2=0 2y+1=0
所以x=2 y=-1/2
[(x^4-y^4)/xy]*[(2x^2-xy)/(xy-y^2)]/{(x^2+y^2)/y}^2.
=[(4-1/4)/1]*[(8-1)/(1-1/4)]/[(4+1/4)/1/4]^2
=35/289