Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - 3.4 Factoring Polynomials - 3.4 Exercises: 77

Answer

$(5n-8)(4n-3m)$

Work Step by Step

Group the four terms into two sets of parentheses and pull out the greatest common factors in each. $20n^2-32n-15mn+24m$ $=(20n^2-15mn)+(-32n+24m)$ $=5n(4n-3m)-8(4n-3m)$ $=(5n-8)(4n-3m)$
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