Answer
$\dfrac{4x^2y^2+6x7^2-4y^2}{2x^2y} = 2y+\dfrac{3y}{x}-\dfrac{2y}{x^2}$
Work Step by Step
Divide the divisor to each term of the dividend to have:
$\\=\dfrac{4x^2y^2}{2x^2y}+\dfrac{6xy^2}{2x^2y}-\dfrac{4y^2}{2x^2y}
\\\\= 2y+\dfrac{3y}{x}-\dfrac{2y}{x^2}$