Answer
$$3x^3y^2-3x^2y^3+12x^2y^2.$$
Work Step by Step
By multiplying each term of the polynomial by the monomial, and then adding the products, we have
$$3xy(x^2y-xy^2+4xy)=3xy(x^2y)-3xy(xy^2)+3xy(4xy)\\
=3x^3y^2-3x^2y^3+12x^2y^2.$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 5 - Section 5.5 - Multiplication of Polynomials - Exercise - Page 225: 15
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