(xy2-x2-xy)(y2-2)

To simplify the expression (xy^2 - x^2 - xy)(y^2 - 2), you can follow the distributive property:

(xy^2 - x^2 - xy)(y^2 - 2) = xy^2(y^2 - 2) - x^2(y^2 - 2) - xy(y^2 - 2)

Now, let's simplify each term:

xy^2(y^2 - 2): Multiply xy^2 by both terms inside the parentheses. = xy^4 - 2xy^2

-x^2(y^2 - 2): Multiply -x^2 by both terms inside the parentheses. = -x^2y^2 + 2x^2

-xy(y^2 - 2): Multiply -xy by both terms inside the parentheses. = -xy^3 + 2xy

Finally, bring all the simplified terms together:

(xy^2 - x^2 - xy)(y^2 - 2) = xy^4 - 2xy^2 - x^2y^2 + 2x^2 - xy^3 + 2xy

This is the simplified expression.