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  • In the expansion of <img alt="\left(x^3-\frac{1}{x^2}\right)^1" src="https://entrancecorner.oncod

In the expansion of \left(x^3-\frac{1}{x^2}\right)^1, the constant term is

Option: 1

{ }^{15} C_6


Option: 2

-{ }^{15} C_6


Option: 3

{ }^{15} C_4


Option: 4

-{ }^{15} C_4


Answers (1)

best_answer

tr + 1 = (–1)r 15Cr(x3)15 –r \left(\frac{1}{x^2}\right)^r = (–1)r 15Cr x45 –3r –2r

For term independent of x 45 –5r = 0 ⇒ r = 9

∴ term independent of x will be = –15C9 = –15C6

Hence (B) is the correct answer.

 

 

Posted by

SANGALDEEP SINGH

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