Answer
$(x^{2n}+25)(x^{n}+5)(x^{n}-5)$
Work Step by Step
Using $a^2-b^2=(a+b)(a-b)$ or the factoring of the difference of 2 squares, then,
\begin{array}{l}
x^{4n}-625
\\=
(x^{2n}+25)(x^{2n}-25)
\\=
(x^{2n}+25)(x^{n}+5)(x^{n}-5)
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 5 - Section 5.7 - Factoring by Special Products - Exercise Set - Page 310: 96
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