The image you've uploaded contains two main parts:

1. Calculation of an independent term: This part shows the process of finding a specific term that is independent of $x$ in an expansion. It includes binomial coefficients and a calculation sequence that leads to the result $184756$.

2. Exercise 3.2, Question 1:

   • This question asks to "Find the simplicity" (likely meaning "find and simplify") of the coefficient of $x^7$ in the expansion of $(3x^2 + \frac{2}{x})^8$.

Would you like a detailed explanation for solving the second question, or do you have specific questions about any part of the solution?

Additional Questions to Explore:

1. How do you determine the term independent of $x$ in a binomial expansion?
2. How does the binomial theorem apply to expressions with negative exponents?
3. What steps are involved in simplifying terms with fractional powers?
4. How can factorials be used to calculate binomial coefficients efficiently?
5. What other types of terms (e.g., specific powers of $x$) might we find in expansions like these?

Tip: When working with binomial expansions involving powers, it’s helpful to write out a few terms to identify patterns, especially for terms independent of $x$ or with specific powers.