Binomial trick| Find the term independent of variables x and the term containing x^m

Binomial trick| Find the term independent of variables x and the term containing x^m

The following problem have been discussed
1. Find the term independent of x in〖(3x^2−1/〖2x〗^3 )〗^10
2. Find the term independent of x in〖(√x+a/x^2 )〗^10
3. Find the term independent of x in〖(1/2 x^(1/3)+x^(−1/5))〗^8
4. The term containing x in the expansion of 〖(x^2+1/x)〗^5
5. Which term in the expansion of 〖(1/3 x^3−2/x^2 )〗^10 contains x^20

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