=[y^2*x+x-y-x^2*y]/[(x^2+1)(y^2+1)]
=[(x-y)+xy(y-x)}/[(x^2+1)(y^2+1)]
=[(x-y)-xy(x-y)]/[(x^2+1)(y^2+1)]
=[(x-y)(1-xy)]/[(x^2+1)(y^2+1)]
=[y^2*x+x-y-x^2*y]/[(x^2+1)(y^2+1)]
=[(x-y)+xy(y-x)}/[(x^2+1)(y^2+1)]
=[(x-y)-xy(x-y)]/[(x^2+1)(y^2+1)]
=[(x-y)(1-xy)]/[(x^2+1)(y^2+1)]