Answer
$$-28x^3-12xy+8x^2y . $$
Work Step by Step
By multiplying each term of the polynomial by the monomial, and then adding the products, we have
$$4x(-7x^2-3y+2xy)=4x(-7x^2)+4x(-3y)+4x(2xy)\\
=-28x^3-12xy+8x^2y . $$
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