Factor the Expression Completely $5 a ^ { 2 } b c + 5 a b c - 100 b c$

Multiple Choice

Factor the expression completely. If the expression is prime, so indicate. $5 a ^ { 2 } b c + 5 a b c - 100 b c$

A) $5 b c ( a + 4 ) ( a - 5 )$
B) $5 b c ( a + 4 ) ( a + 5 )$
C) $5 b c ( a - 4 ) ( a + 5 )$
D) $5 b c ( a - 5 ) ( a + 6 )$
E) prime