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The position of the term independent of ...

The position of the term independent of `x` in the expansion of `(sqrt((x)/(3)) + (3)/(2x^(2)))^(10)` is ......

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To find the position of the term independent of \( x \) in the expansion of \( \left( \sqrt{\frac{x}{3}} + \frac{3}{2x^2} \right)^{10} \), we can follow these steps: ### Step 1: Identify the General Term The general term in the binomial expansion of \( (a + b)^n \) is given by: \[ T_r = \binom{n}{r} a^{n-r} b^r \] In our case, \( a = \sqrt{\frac{x}{3}} \) and \( b = \frac{3}{2x^2} \), and \( n = 10 \). ...
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