Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.3 - Greatest Common Factors and Factoring by Grouping - Exercise Set - Page 349: 115

Answer

$7$.

Work Step by Step

The given expression is $(x+3y)(x-?y)=x^2-4xy-21y^2$ Factor the right hand side: $=x^2-4xy-21y^2$ $=x^2-7xy+3xy-21y^2$ $=x(x-7y)+3y(x-7y)$ $=(x+3y)(x-7y)$ Plug into the given expression. $(x+3y)(x-?y)=(x+3y)(x-7y)$ By comparing both sides, the question mark is $7$.
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