Question

Find the term independent of x in the expansion of (3/2x² - 1/3x)⁶

Answer 1

The term will be independent of x if the index of x is zero, i.e., 12 – 3r = 0. Thus, r = 4 

Hence 5th term is independent of x and is given by (-1)^{4 6}C₄ (3)^{6 - 8}/(2)^{6 - 4} = 5/12