Answer
$(x+y)^{4}$
Work Step by Step
We need to factor:
$x^{4}+4x^{3}y+6x^{2}y^{2}+4xy^{3}+y^{4}$
We notice that this corresponds to an expanded binomial with a power of $4$ and terms $x$ and $y$:
$(x+y)^{4}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 8, Sequences and Series - Section 8.6 - The Binomial Theorem - 8.6 Exercises - Page 636: 43
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