Answer
$ (4x+13y)(4x-13y)$.
Work Step by Step
The given polynomial is
$= 16x^2-169y^2$
Write the the polynomial as $a^2-b^2$.
$= (4x)^2-(13y)^2$
Use difference of two square pattern
$a^2-b^2=(a+b)(a-b)$.
We have $a=4x$ and $b=13y$.
$= (4x+13y)(4x-13y)$
Hence, the factor of the polynomial is $ (4x+13y)(4x-13y)$.