AM-186

General term of a binomial expansion

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

Find the general term

T_{r+1}

of the expansion of

(3x^2-\dfrac{1}{x})^8

.

$\displaystyle T_{r+1}=\binom{8}{r}3^{8-r}(-1)^r x^{16-3r}$
$\displaystyle T_{r+1}=\binom{8}{r}3^{r}(-1)^r x^{16-3r}$
$\displaystyle T_{r+1}=\binom{8}{r}3^{8-r}(-1)^r x^{8-r}$
$\displaystyle T_{r+1}=\binom{8}{r}3^{8-r}x^{16-r}$

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