I find it easiest to simplify numerator / denominator separately
1 2 y + 2x^2
____ + _____ = _________
x^2 y x^2y
5 6 5y^2 - 6x
__ - ___ = __________
x y^2 xy^2
So we have
y + 2x^2
________
x^2y y + 2x^2 xy^2 ( y + 2x^2) y
____________ = ________ * _______ = _____________ =
5y^2 - 6x x^2 y 5y^2 - 6x ( 5y^2 - 6x) x
_________
xy^2
(y^2 + 2x^2y)
____________
(5y^2x - 6x^2)