Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set: 54

Answer

$-3x^2-20xy+7y^2$

Work Step by Step

Using the FOIL method, the given expression, $ (x+7y)(y-3x) ,$ is equivalent to \begin{array}{l}\require{cancel} x(y)+x(-3x)+7y(y)+7y(-3x) \\\\= xy-3x^2+7y^2-21xy \\\\= -3x^2+(xy-21xy)+7y^2 \\\\= -3x^2-20xy+7y^2 .\end{array}
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