how do do a binomial expansion when x is in both terms

Question

.sam. · Answer

Do you have the problem?

anonymous · Answer

find the coefficient of x in the expansion (2x+3/x)^6

.sam. · Answer

Do you know 
$$\Large ^nC_r(q)^r(p)^{n-r}$$
Where
$(p+q)^n$

anonymous · Answer

yes, but I dont understand when there is an x in both terms
oh and I'm trying to find the coefficient of x^3

.sam. · Answer

The expanded form of that is
$$64 x^6+\frac{729}{x^6}+576 x^4+\frac{2916}{x^4}+2160 x^2+\frac{4860}{x^2}+4320$$

.sam. · Answer

There's no x^3 term

rajee_sam · Answer

It doesn't matter just consider them as two different terms and follow the formula. Also the first term has x and the second has 1/x , so when you expand it some of the x's get cancelled out.

.sam. · Answer

You still can't get anything from there

anonymous · Answer

ok thanks :)