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Multinomial Expansion

Write the gen...

Question

Write the general term in the expansion of $(x^{2} - y)^{6}$ .

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Solution

Here general term in the expansion of $(x^{2} - y)^{6}$ is
$T_{r + 1} = 6_{C_{r}} (x^{2})^{6 - r} (- y)^{r}$
$= (- 1)^{r} 6_{C_{r}} x^{12 - 2 r} y^{r}$

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