Answer
$(x+1)^2$
Work Step by Step
$x^2+2x+1$
To factor the perfect squares, let us remember
$(a+b)^2=a^2+2ab+b^2$
and
$(a-b)^2=a^2-2ab+b^2.$
Therefore, when we factor our perfect square, we get
$(x+1)^2.$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.5 - Factoring Polynomials - R.5 Assess Your Understanding - Page 57: 27
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