Use the binomial theorem to expand the following expression. (3x - 4)⁶ A) 729x⁶ - 5832x⁵ + 19,440x⁴ - 34,560x³ + 34,560x² - 18,432x + 4096 B) 729x⁶ - 5832x⁵ - 12,960x⁴ - 34,560x³ - 23,040x² - 18,432x + 4096 C) 729x⁶ - 5832x⁵ + 12,960x⁴ - 34,560x³ + 23,040x² - 18,432x + 4096 D) 729x⁶ + 4096

Question

Quizplus · Accepted Answer

Using the binomial theorem, the expanded form of the expression is:

(3x)S1U1P16S1S1P0 + (-4)S1U0P16S1S1P0(1)

= 729xS1U1P16S1S1P0 - 5832xS1U1P15S1S1P0 + 19,440xS1U1P14S1S1P0 
  - 34,560xS1U1P13S1S1P0 + 34,560xS1U1P12S1S1P0 - 18,432x + 4096

Therefore, the best choice is A.

Use the Binomial Theorem to Expand the Following Expression