Factor by Any Method $343 p ^ { 3 } - 1$

Multiple Choice

Factor by any method.
- $343 p ^ { 3 } - 1$

A) $( 343 p - 1 ) \left( p ^ { 2 } + 7 p + 1 \right)$
B) $( 7 p - 1 ) \left( 49 p ^ { 2 } + 1 \right)$
C) $( 7 p + 1 ) \left( 49 p ^ { 2 } - 7 p + 1 \right)$
D) $( 7 p - 1 ) \left( 49 p ^ { 2 } + 7 p + 1 \right)$