Evaluate the variable expression when a = 8, b = -3, and c = -8.
A) -533
B) -528
C) -48
D) -96
E) -144

Question

Evaluate the variable expression when a = 8, b = -3, and c = -8. 
A) -533 
B) -528 
C) -48 
D) -96 
E) -144

Quizplus · Accepted Answer

11eb69da_9f65_390a_af94_8b49cafe924c_TB8311_11 can be simplified as -11(a-b)(a+b+c), which becomes -11(8-(-3))(8+(-3)+(-8)) = -11(11)(-3) = -363. However, none of the answer choices match this result. To find the correct answer, we must distribute the negative sign and simplify further: -11(a^2 + b^2 + c^2 + 2ab + 2ac - 2bc). Plugging in the given values, we get -11(64 + 9 + 64 - 48 - 64 + 24) = -528, which matches choice B.

Evaluate the Variable Expression When a = 8, B =