1 x + y - 1 x3 y	=	1 y 1 x + y - 1 x3	(by the rule for division)
	=	1 y x3 - (x+y) x3(x+y)	(subtraction rule)
	=	x3 - x - y yx3(x+y)	(multiplication rule)
	=	x3 - x - y x4y + x3y2	(expanding the denominator)

Enter this as

x^3 - x - y x^4*y + x^3*y^2

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