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

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

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

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

(^{6}C_{4}(1)^{6-4}(-2x)^{4}) = (15times1times16x^{4} = 240x^{4})

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

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