SOLUTION: what is the middle term in the expansion of (x - 1/x)^6 ??

Algebra ->  Radicals -> SOLUTION: what is the middle term in the expansion of (x - 1/x)^6 ??      Log On


   

Question 391749: what is the middle term in the expansion of
(x - 1/x)^6 ??
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The binomial expansion has 6 + 1 = 7terms, so the middle term is the fourth term.
From the binomial theorem, the fourth term is 6C3%2Ax%5E3%2A%28-1%2Fx%29%5E3+=+20%2Ax%5E3%2A%28-1%2Fx%5E3%29+=+-20.