The term independent of x in the expansion of 

(\frac{1}{60}-\frac{x^{8}}{81})\cdot (2x^{3}-\frac{3}{x^{2}})^{6} is equal to :

  • Option 1)

    -72

  • Option 2)

    36

  • Option 3)

    -36

  • Option 4)

    -108

 

Answers (1)
V Vakul

The term independent of x in the expansion of 

(\frac{1}{60}-\frac{x^{8}}{81})\cdot (2x^{3}-\frac{3}{x^{2}})^{6}

=> \frac{1}{60}\times2^{3}\times(-3)^{3}\times C_3^{6}+(\frac{-1}{81})(2)(-3)^{5}\times C_1^{6}

=>-72+36=-36 


Option 1)

-72

Option 2)

36

Option 3)

-36

Option 4)

-108

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