Let's substitute a = -1/12 into the expression:
(-1/12 - 3)^2 - (-1/12)(6 + (-1/12))= (-37/12)^2 - (-1/12)(71/12)= (1369/144) - (71/144)= 1298/144= 227/24
Therefore, when a = -1/12, the expression simplifies to 227/24.
Let's substitute a = -1/12 into the expression:
(-1/12 - 3)^2 - (-1/12)(6 + (-1/12))
= (-37/12)^2 - (-1/12)(71/12)
= (1369/144) - (71/144)
= 1298/144
= 227/24
Therefore, when a = -1/12, the expression simplifies to 227/24.