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 5.6 - A General Factoring Strategy - Exercise Set - Page 378: 10

Answer

$2(4y-3)^2$

Work Step by Step

Consider the polynomial $(32y^2-48y+18)$ Take out common terms. or, $=2(16y^2-24y+9)$ Now, factor out the greatest common factor, such as: $=2[(4y)^2-(2)(4y)(3)+3^2]$ $=2(4y-3)(4y-3)$ Hence, $(32y^2-48y+18)=2(4y-3)^2$
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