When we expand (2x+1/2-1/3)^6, what is the coefficient on the x^4 term?
(2x + 1/2 - 1/3)6 = (2x + 1/6)6
The expansion is: 1·(2x)6·(1/6)0 + 6·(2x)5·(1/6)1 + 15·(2x)4·(1/6)2 + ...
The term of interest is: 15·(2x)4·(1/6)2
Simplify this term to get the answer.