Answer
$x^3y^3+8$.
Work Step by Step
The given expression is
$=(xy+2)(x^2y^2-2xy+4)$
Multiply the right side bracket by each term of the left side bracket.
$=xy(x^2y^2-2xy+4)+2(x^2y^2-2xy+4)$
Clear the parentheses.
$=x^3y^3-2x^2y^2+4xy+2x^2y^2-4xy+8$
Add like terms.
$=x^3y^3+8$.