Answer
$$-6a^3b-8a^2b^2+4ab^3.$$
Work Step by Step
By multiplying each term of the polynomial by the monomial, and then adding the products, we have
$$-2ab(3a^2+4ab-2b^2)=-2ab(3a^2)-2ab(4ab) -2ab(-2b^2)\\
=-6a^3b-8a^2b^2+4ab^3.$$
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