Answer
$(x-7)^2$
Work Step by Step
Given: $x^2-14x$
We need to add $(-7)^2$ to complete the square.
Thus,
$x^2+2x+(-7)^2=x^2+(-7)^2+(2)(x)(1)$
Apply difference of polynomial formula.
or, $x^2+(-7)^2+(2)(x)(1)=(x-7)^2$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Exercise Set - Page 593: 25
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