已知x.x+y.y+8x+6y+25=0,求代数式(x.x-4y.y)/(x.x+4xy+4y.y)-x/(x+2y)的值

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已知x.x+y.y+8x+6y+25=0,求代数式(x.x-4y.y)/(x.x+4xy+4y.y)-x/(x+2y)的值已知x.x+y.y+8x+6y+25=0,求代数式(x.x-4y.y)/(x.

已知x.x+y.y+8x+6y+25=0,求代数式(x.x-4y.y)/(x.x+4xy+4y.y)-x/(x+2y)的值
已知x.x+y.y+8x+6y+25=0,求代数式(x.x-4y.y)/(x.x+4xy+4y.y)-x/(x+2y)的值

已知x.x+y.y+8x+6y+25=0,求代数式(x.x-4y.y)/(x.x+4xy+4y.y)-x/(x+2y)的值
x平方+8x+16 +y平方+6x+9=0
(x+4)平方+(y+3)平方=0
∴x+4=0
y+3=0
∴x=-4,y=-3

原式=(x+2y)(x-2y)/(x+2y)平方 -x/(x+2y)
=(x-2y)/(x+2y) -x/(x+2y)
=-2y/(x+2y)
=6/(-4-6)
=-3/5

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