Find the indicated product. (3 x - 6)³ A)27 x ³ - 162 x ² + 324 x - 6 B)27 x ³ - 162 x ² - 54 x + 6 C)27 x ³ - 162 x ² + 324 x - 216 D)27 x ³ + 162 x ² - 324 x + 216 E)27 x ³ - 324 x ² + 162 x - 216

Question

Quizplus · Accepted Answer

- First, apply the distributive property: 
(3 x - 6)(S1U1P1 3S1S1P0) = (3 x S1U1P1)(3S1S1P0) - (6)(3S1S1P0) 
= 27 x S1U1P1 3S1S1P0 - 18S1S1P0 
- Then, apply the distributive property again: 
(3S1S1P0)(S1U1P1 3S1S1P0) = (3S1U1P1 4S1S1P0) - (3S1S1P1) 
= 27 x S1U1P1 3S1S1P0 - 9 
- Finally, combine like terms: 
27 x S1U1P1 3S1S1P0 - 18S1S1P0 + 27 x S1U1P1 3S1S1P0 - 9 = 54 x S1U1P1 3S1S1P0 - 18S1S1P0 - 9 
= 54 x S1U1P1 3S1S1P0 - 162 x S1U1P1 2S1S1P0 - 216 
Therefore, the correct answer is C.

Find the Indicated Product