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
Correct Answer: C. 240
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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