Answer
$3x^2y^2+ 4y^2- \frac{5}{2}y$.
Work Step by Step
Rewrite the given division in a vertical format.
$\Rightarrow \frac{12x^4y^3+16x^2y^3-10x^2y^2}{4x^2y}$
In order to divide a polynomial by a monomial, we divide each term of the polynomial by the monomial.
$\Rightarrow =\frac{12x^4y^3}{4x^2y}+ \frac{16x^2y^3}{4x^2y}- \frac{10x^2y^2}{4x^2y}$
Simplify each quotient.
$\Rightarrow =3x^2y^2+ 4y^2- \frac{5}{2}y$.
