what is the constant term in the expansion(3x+1/x)^10 please with explanation

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Sylvanus - Try using the binomial theorem to solve this problem.  The only "constant" term is when (3x) and (1/x) are both raised to the same power resulting in cancellation of the variable x.  For a binomial raised to the 10th power, this cancellation will occur in the 6th term of the binomial expansion,  Check it out!