Answer
$ 2(m+5)(m-5)$.
Work Step by Step
The given polynomial is
$= 2m^2-50$
Factor out $2$.
$= 2(m^2-25)$
Write the the polynomial as $a^2-b^2$.
$= 2(m^2-5^2)$
Use difference of two square pattern
$a^2-b^2=(a+b)(a-b)$.
We have $a=m$ and $b=5$.
$= 2(m+5)(m-5)$
Hence, the factor is $ 2(m+5)(m-5)$.