设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2)/(x^2+4xy+4y^2)-x/x+2y的值.

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设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2)/(x^2+4xy+4y^2)-x/x+2y的值.设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2

设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2)/(x^2+4xy+4y^2)-x/x+2y的值.
设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2)/(x^2+4xy+4y^2)-x/x+2y的值.

设实数x,y满足x^2+y^2+8x+6y+25=0,求(x^2-4y^2)/(x^2+4xy+4y^2)-x/x+2y的值.
x^2+y^2+8x+6y+25
=(x+4)^2+(y+3)^2=0
则x+4=0
y+3=0
(x^2-4y^2)/(x^2+4xy+4y^2)-x/(x+2y)
=[(x+2y)(x-2y)]/(x+2y)^2-x/(x+2y)
=(x-2y)/(x+2y)-x/(x+2y)
=-2y/(x+2y)
=6/-10
=-3/5