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: 70

Answer

$6x^2+13xy-5y^2$

Work Step by Step

$$(3x-y)(2x+5y)$$ To multiply two binomials (expressions with two terms) multiply each term in the first binomial by each term in the second binomial: $$=(3x\times 2x)+(3x\times 5y)+(-y\times 2x)+(-y\times 5y)$$ $$=6x^2+15xy-2xy-5y^2$$ Combine like terms: $$=6x^2+13xy-5y^2$$
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