SOLUTION: the constant term in expansion of (p-1/p)^6 is?

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Question 1108081: the constant term in expansion of (p-1/p)^6 is?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


To get a constant, you need to take the "p" term and the "-1/p" terms an equal number of times. Since the binomial is to the 6th power, you need to take each term 3 times. The coefficients of the terms are 1 and -1; so the coefficient of the constant term is

C%286%2C3%29%2A%281%29%5E3%2A%28-1%29%5E3+=+-C%286%2C3%29+=+-20