Find the term independent of x in the expansion off the following expression: ( 3 / 2 x^2 − 1 / 3 x )^ 6

Explanation

To find the term independent of \( x \) in the expansion of the expression \( \left( \frac{3}{2} x^2 - \frac{1}{3} x \right)^6 \), we can follow these steps:

### Step 1: Identify the general term in the binomial expansion
The general term \( T_{r+1} \) in the binomial expansion of \( (a + b)^n \) is given by:
\[ T_{r+1} = \binom{n}{r} a^{n-r} b^r \]
For our expression, let \( a = \frac{3}{2} x^2 \) and \( b = -\frac{1}{3} x \), and \( n = 6 \).
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