Question

化简求值（x-y／x^2-2xy+y^2-xy+y^2／x^2-y^2），其中x=1／2-根号3，y=1／2+根号3）

化简求值（x-y／x^2-2xy+y^2-xy+y^2／x^2-y^2），其中x=1／2-根号3，y=1／2+根号3）详细过程 速度

Answer 1

合并同类项得：X-3XY+（X立方-Y四次方）/（XY*Y)
代入得：
不好意思可能求错了，答案好复杂

Answer 2

x=1/2 -√3
y=1/2 +√3
x+y=1
(x-y)／(x^2-2xy+y^2)-(xy+y^2)／(x^2-y^2)

=(x-y)/(x-y)^2 -y(x+y)/((x^2-y^2)
=1/(x+y)-y(x-y)/(x^2-y^2)
=(x-y)/(x+y)(x-y) -y(x-y)/(x^2-y^2)
=(x-y)/(x^2-y^2)-y(x-y)/(x^2-y^2)
=(x-y)(1-y)/(x^2-y^2)
=(x-y)(1-y)/(x+y)(x-y)
=(1-y)/(x+y)
=(1-1/2-√3)/1
=1/2-√3