SOLUTION: find the independent term of x in the expansion of ((2x-(3/x^2))^6

Every term of  

is of the form

, where k = 0,1,2,3,4,5,6

Write  as 
Write  as 



Write  as 



Rearrange the factors:



Add the exponents of x



For the term to be independent of x, the power of x
must be 0, since x0 = 1 which contains no x.
So we set the exponent of x equal to 0:




So we substitute k=2












Edwin