`#laviken#`
`P=(x^3-y^3)/(x^2y-xy^2)-(x^3+y^3)/(x^2y+xy^2)-(x/y-y/x).((x+y)/(x-y)-(x-y)/(x+y))`
`=((x-y)(x^2+xy+y^2))/(xy(x-y))-((x+y)(x^2-xy+y^2))/(xy(x+y))-(x^2-y^2)/(xy).((x+y)^2-(x-y)^2)/(x^2-y^2)`
`=(x^2+xy+y^2)/xy-(x^2-xy+y^2)/xy-((x+y-x-y).(x+y+x-y))/xy`
`=((x^2+xy+y^2-x^2+xy-y^2)-4xy)/xy`
`=(-2xy)/xy`
`=-2`