Answer
$(z-5x+1)(z+5x-1)$
Work Step by Step
Given:$z^2-25x^2+10x-1$
Since, $a^2-2ab+b^2=(a-b)^2$
Thus,
$=z^2-[(5x)^2-2(5)(x)+(1)^2]$
or, $=z^2-(5x-1)^2$
Since, $a^2-b^2=(a-b)(a+b)$
Hence, $(z-5x+1)(z+5x-1)$
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 5 - Review Exercises - Page 400: 62
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