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