Answer:
[tex](3a-b)(a-8b)[/tex]
Step-by-step explanation:
[tex]6a^{2} -50ab+16b^2\\\\=2(3a^2-25ab+8b^2)[/tex]
here we need to pause, 3a^2 we can factorize it as (3a)(a)
so generally
[tex](3a+x)(a+y)\\\\=3a^{2} +3ay+ax+xy\\\\=3a^2+a(3y+x)+xy[/tex]
so 3y+x=-25b
an xy=8b^2
if y=-8b
and x=-b
(this is guesswork)
so it gets
[tex](3a-b)(a-8b)[/tex]
