What is the coefficient of the fourth power of 'x' in (2 - x)^6?
Correct answer: A. 60
- A. 60
- B. 10
- C. 6/4
- D. 2
Explanation
The general term of a Binomial expansion of (a + x)^r is given as:Tr+1 = (r!)(a)^(r-r)(x)^rFor the given expression (2 - x)^6, the general term would be:Tr+1 = (6)(2)^(6-r)(-x)^rThe term with 4th power of x will be, when r = 4. So,T4+1 = (6)(2)^(6-4)(-x)^4 = 15(-x)^4 = 60x^4Therefore, the coefficient of 4th power of x is 60.So, the correct answer is a) 60.
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