The general term of the expansion of \left(3x + \dfrac{2}{x}\right)^5 is T_r = \binom{5}{r-1}(3x)^{6-r}\left(\dfrac{2}{x}\right)^{r-1}. For which value of r is the term independent of x?

AM-144

General term of a binomial expansion

A Math · Secondary 3 · Hard · General term of a binomial expansion

The general term of the expansion of

\left(3x + \dfrac{2}{x}\right)^5

T_r = \binom{5}{r-1}(3x)^{6-r}\left(\dfrac{2}{x}\right)^{r-1}

. For which value of

r

is the term independent of

x

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