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Find the coefficient of \(x^{4}\) in the expansion of \((1-2x)^{6}\).

Further Mathematics
WAEC 2017

Find the coefficient of \(x^{4}\) in the expansion of \((1-2x)^{6}\).

  • A. -320
  • B. -240
  • C. 240
  • D. 320
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Correct Answer: Option C
Explanation

\(^{6}C_{4}(1)^{6-4}(-2x)^{4}\) = \(15\times1\times16x^{4} = 240x^{4}\)

The coefficient of \(x^{4}\)= 240


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