Factorize:

$8 a^{3}+125 b^{3}-64 c^{3}+120 a b c=(2 a)^{3}+(5 b)^{3}+(-4 c)^{3}-3 \times(2 a) \times(5 b) \times(-4 c)$

$=(2 a+5 b-4 c)\left[(2 a)^{2}+(5 b)^{2}+(-4 c)^{2}-(2 a)(5 b)-(5 b)(-4 c)-(2 a) \times(-4 c)\right]$

$=(2 a+5 b-4 c)\left(4 a^{2}+25 b^{2}+16 c^{2}-10 a b+20 b c+8 a c\right)$