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What is the term containing x^5 in the expansion of (2x - 3)^8?

Practice Questions

1 question
Q1
What is the term containing x^5 in the expansion of (2x - 3)^8?
  1. -6720
  2. 6720
  3. -13440
  4. 13440

Questions & Step-by-step Solutions

1 item
Q
Q: What is the term containing x^5 in the expansion of (2x - 3)^8?
Solution: The term containing x^5 occurs when k = 5. Using the binomial theorem, the term is C(8,5) * (2x)^5 * (-3)^3 = 56 * 32 * (-27) = -48384.
Steps: 0

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