Evaluate $\sum _ { j = 1 } ^ { 15 } \left( j ^ { 3 } - 5 j ^ { 2 } \right)$

Multiple Choice

Evaluate $\sum _ { j = 1 } ^ { 15 } \left( j ^ { 3 } - 5 j ^ { 2 } \right)$ using the summation formulas and properties.

A) $\quad 14,400$
B) 13,275
C) 14,395
D) 14,325
E) 8,200