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x²÷y²+y÷x=?

Simplify the following:
x^2/y^2+y/x

Put each term in x^2/y^2+y/x over the common denominator x y^2: x^2/y^2+y/x  =  x^3/(x y^2)+y^3/(x y^2):
x^3/(x y^2)+y^3/(x y^2)

x^3/(x y^2)+y^3/(x y^2) = (x^3+y^3)/(x y^2):
(x^3+y^3)/(x y^2)

Factor the sum of two cubes. x^3+y^3 = (x+y) (x^2-x y+y^2):
Answer: | 
| (x+y) (x^2-x y+y^2)/(xy^2)

You can factorise this but you cannot simplify it.

Hallo guest