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 5.4 - Factoring Trinomials - Exercise Set - Page 361: 62



Work Step by Step

$2x^{2}+3xy+y^{2}$ ... Searching for two factors of $ac=2\cdot 1$ whose sum is $b=3,$ we find$\qquad 2$ and $1.$ Rewrite the middle term and factor in pairs: $=2x^{2}+2xy+xy+y^{2}=$ $=2x(x+y)+y(x+y)$ = $(x+y)(2x+y)$
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