Answer
$24x^4y-16x^3y^2+20x^2y^3.$
Work Step by Step
By multiplying each term of the polynomial by the factor $4x^2y$ and then adding the products, we have
$$
4x^2y(6x^2 - 4xy + 5y^2)=4x^2y(6x^2) +4x^2y(- 4xy) + 4x^2y(5y^2)\\
=24x^4y-16x^3y^2+20x^2y^3.
$$