Answer
$(2x+y)(x+y)$
Work Step by Step
$2x^{2}+3xy+y^{2}=$
two factors of $ac=+2$ whose sum is $b=3$ are $+2$ and $+1.$
Rewrite the middle term and factor in pairs.
$2x^{2}+3xy+y^{2}=2x^{2}+2xy+xy+y^{2}$
$=2x(x+y)+y(x+y)$
$=(2x+y)(x+y)$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter P - Section P.5 - Factoring Polynomials - Exercise Set - Page 68: 35
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
