Write the general term in the expansion of $(x^{2} - y x)^{12}, x \neq 0$ .

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Solution

Here general term in the expansion of $(x^{2} - y x)^{12}$ is

$T_{r + 1} = 12_{C_{r}} (x^{2})^{12 - r} (- y x)^{r}$

$= (- 1)^{r} 12_{C_{r}} x^{24 - 2 r} . y^{r} x^{r}$

$= (- 1)^{r} 12_{C_{r}} x^{24 - r} . y^{r}$

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