Question 1185962
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            I came to fix the errors in the @greenestamps' solution.



(1)   x^10:


{{{C(10,6)((x^3)^6)((-2/x^2)^4)}}} = {{{C(10,6)((-2)^4)(x^18)(1/x^8)}}} = {{{C(10,6)*16*x^10}}} = {{{3360*x^10}}}.



(2)   1/x^5:


{{{C(10,3)((x^3)^3)((-2/x^2)^7)}}} = {{{C(10,3)*(-2)^7*(x^9)(1/x^14)}}} = -{{{C(10,3)*128)*(1/x)^5}}} = {{{15360*(1/x^5)}}}



(3)   constant term:


{{{C(10,4)*(x^3)^4*(-2/x^2)^6}}} = {{{C(10,4)*(-2)^6)*x^12*(1/x^12)}}} = {{{C(10,4)*64}}} = 13440.
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Solved.