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.5 Polynomials and Factoring - R.5 Exercise Set - Page 970: 23

Answer

$(n-2)(m+3)$

Work Step by Step

Grouping the first and second terms and the third and fourth terms, the given expression is equivalent to \begin{array}{l}\require{cancel} mn-2m+3n-6 \\\\= (mn-2m)+(3n-6) .\end{array} Factoring the $GCF$ in each group results to \begin{array}{l}\require{cancel} (mn-2m)+(3n-6) \\\\= m(n-2)+3(n-2) .\end{array} Factoring the $GCF= (n-2) $ of the entire expression above results to \begin{array}{l}\require{cancel} (n-2)(m+3) .\end{array}
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