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: 69

Answer

$2x^2+xy-21y^2$

Work Step by Step

$$(x-3y)(2x+7y)$$ To multiply two binomials (expressions with two terms) multiply each term in the first binomial by each term in the second binomial: $$=(x\times 2x)+(x\times 7y)+(-3y\times 2x)+(-3y\times 7y)$$ $$=2x^2+7xy-6xy-21y^2$$ Combine like terms: $$=2x^2+xy-21y^2$$
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