Find the Sum Using the Formulas for the Sums of Powers

Multiple Choice

Find the sum using the formulas for the sums of powers of integers. $\sum _ { j = 1 } ^ { 11 } \left( 4 - \frac { 1 } { 2 } j + \frac { 1 } { 2 } j ^ { 2 } \right)$

A) -264
B) 264
C) -506
D) 759
E) 506