Engineering Board Exam Reviewer · Binomial Theorem · medium

Find the coefficient of x5 in the expansion of (2x-1)8.

  1. 1792
  2. -448
  3. -1024
  4. -1792

Answer

D. -1792

Solution

The general term is 8r(2x)8-r(-1)r. For x5, 8-r=5 r=3: 83(2)5(-1)3=56(32)(-1)=-1792.

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