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Calculate the term independent of x in the expansion of (x/2 - 3)^6.

Practice Questions

1 question
Q1
Calculate the term independent of x in the expansion of (x/2 - 3)^6.
  1. 729
  2. 729/64
  3. 729/32
  4. 729/16

Questions & Step-by-step Solutions

1 item
Q
Q: Calculate the term independent of x in the expansion of (x/2 - 3)^6.
Solution: The term independent of x occurs when k = 3, which gives C(6,3) * (x/2)^3 * (-3)^3 = 20 * (1/8) * (-27) = -67.5.
Steps: 0

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