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`T_(r+1)=^(11)C_(r)(2x^(2))^(11-r)(-(3)/(x))^(r)` <br> `=^(11)C_(r).2^(11-r).x^(22-2r).((-3)^(r))/(x^(r))` <br> `=^(11)C_(r).2^(11-r)(-3)^(r).x^(22-3r)` <br> Let 22-3r =6 <br> `rArr" "3r=16` <br> `rArr " "r=(16)/(3)=5(1)/(3)` <br> But 'r' cannot be in fraction . <br> Therefore the term containing `x^(6)` is not existing in the expansion of `(2x^(2)-(3)/(x))^(11)`