Answer
$(x^n+1)(9x^{n}-8)$.
Work Step by Step
The given expression is
$=9x^{2n}+x^n-8$
Rewrite the term $x^n$ as $9x^n-8x^n$.
$=9x^{2n}+9x^n-8x^n-8$
Group terms.
$=9x^{n}(x^n+1)-8(x^n+1)$
Factor out $(x^n+1)$
$=(x^n+1)(9x^{n}-8)$.
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 - Section 5.4 - Factoring Trinomials - Exercise Set - Page 363: 132
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