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

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Write the general term in the expansion of

(x^{2} - y)^{6}

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Text solutionVerified

It is known that the general term $(T)_{r + 1}$ {which is the $(r + 1)$ in the

binomial expansion of $(a + b)^{n}$ is given by $T_{r + 1} =^{n} C_{r} a^{n - r} b^{r}$

Thus, the 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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Question Text	Write the general term in the expansion of $(x^{2} - y)^{6}$
Answer Type	Text solution:1
Upvotes	152