Simplify: [(3³) - 6²]³ A) 279 B) -279 C) 729 D) -729 E) 972

Question

Quizplus · Accepted Answer

First, simplify the expression inside the brackets: 
(3S1U1P13S1S1P0) = 3(1U1P13S1S1P0) = 3(1U1P12S1S1P1) = 3(1U1P12S1S1P0 + S1) = 3(1U1P12S1S1P0) + 3S1

Substitute this back into the original expression: 
[(3S1U1P12S1S1P0) + 3S1 - 6S1U1P12S1S1P0]S1U1P13S1S1P0

Combine like terms: 
(-3S1U1P12S1S1P0 + 3S1)S1U1P13S1S1P0

Simplify the expression inside the brackets: 
(-3S1U1P12S1S1P0 + 3S1) = -3(S1U1P12S1S1P0 - S1) = -3S1

Substitute this back into the expression: 
(-3S1)S1U1P13S1S1P0

Simplify: 
-3S1U1P13S1S1P0 = -3(1U1P13S1S1P0) = -729

Therefore, the answer is D (-729).

Simplify: [(33) - 62]3

Simplify: [(3³) - 6²]³