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Term of independent of x (x - 1/x2)15.

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(x - \(\frac1{x^2}\))15 (Term of independent of x in (x - \(\frac1{x^2}\))15)

General term in the expansion of 

(x - \(\frac1{x^2}\))15 is Tr+1 = 15Cr x15-r (\(-\frac1{x^2}\))r

 = (-1)r 15Cr x15-r- 2r

 = (-1)r15Cr x15-3r

For independent term of x, we have

15 - 3r = 0

⇒ r = 15/3 = 5

\(\therefore\) Independent term of x in (x - \(\frac1{x^2}\))15 is

T6 = (-1)5 15C5 = -15C5

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