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

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Further Mathematics WAEC 2017

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

  • -320
  • -240
  • 240 checkmark
  • 320

The correct answer is: 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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