$(2x+\frac{1}{6x}{)}^{10}$ এর সম্প্রসারণে x বর্জিত পদ হল -

The answer provided is $\frac{28}{27}$, which indicates a numerical value derived from the expression given in the question.

To understand why this answer is correct, we need to look at the expression:

    
1. The expression involves terms related to x, where we are interested in the constant term or the term that does not include x when expanded.
    
2. In polynomial expansions, the term that does not contain x is usually computed by looking for the term that results when the variable is set to zero or by using the binomial expansion formula.
    
3. In this scenario, the answer simplifies the constant term found in the complete expansion of the polynomial expression.

Thus, the selected answer, $\frac{28}{27}$, is the constant term resulting from the correct calculations based on the given mathematical expression.

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