College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4: 71

Answer

$15x^2y^2+xy-2$

Work Step by Step

$$(3xy-1)(5xy+2)$$ To multiply two binomials (expressions with two terms) multiply each term in the first binomial by each term in the second binomial: $$=(3xy\times 5xy)+(3xy\times 2)+(-1\times 5xy)+(-1\times 2)$$ $$=15x^2y^2+6xy-5xy-2$$ Combine like terms: $$=15x^2y^2+xy-2$$
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