Answer
$(4x^{n}-5)(x^n-1)$.
Work Step by Step
The given expression is
$=4x^{2n}-9x^n+5$
Rewrite the term $-9x^n$ as $-5x^n-4x^n$.
$=4x^{2n}-5x^n-4x^n+5$
Group terms.
$=(4x^{2n}-5x^n)+(-4x^n+5)$
Factor each group.
$=x^{n}(4x^n-5)-1(4x^n-5)$
Factor out $(x^n-1)$
$=(x^n-1)(4x^{n}-5)$.
Rearrange.
$=(4x^{n}-5)(x^n-1)$.
