SOLUTION: find the constant term in the expansion of (x^2-1/x)^9

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Question 1145388: find the constant term in the expansion of (x^2-1/x)^9
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The constant term is obtained by taking 3 of the x^2 terms and 6 of the (1/x) terms:

%28x%5E2%29%5E3%2A%281%2Fx%29%5E6+=+x%5E6%2Fx%5E6+=+1

So the coefficient of the constant term in the expansion is

%289C3%29%281%29%5E3%2A%28-1%29%5E6+=+9C3+=+84