Factor Completely $1000 p ^ { 3 } - 1$ A) $( 10 p - 1 ) \left( 100 p ^ { 2 } + 1 \right)$

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $1000 p ^ { 3 } - 1$

A) $( 10 p - 1 ) \left( 100 p ^ { 2 } + 1 \right)$
B) $( 10 p + 1 ) \left( 100 p ^ { 2 } - 10 p + 1 \right)$
C) $( 1000 p - 1 ) \left( p ^ { 2 } + 10 p + 1 \right)$
D) $( 10 p - 1 ) \left( 100 p ^ { 2 } + 10 p + 1 \right)$