Answer:
[tex]D) 0.5x^3y + 4x^2 y^2 - 2xy^3[/tex]
Step-by-step explanation:
Set up an equation to model the situation,
[tex](-0.5xy)(x^2 + 8xy - 4y^2)[/tex]
Distribute, multiply each term in the parenthesis with the term outside of the parenthesis. Don't forget the laws of exponents, when one multiplies two exponents, with the same base, then one adds the two exponents. A number with no exponential term is two the first degree meaning that it is to the power of one.
[tex]-0.5x^3 y - 4x^2 y^2 + 2xy^3[/tex]
