Class 11

Math

Algebra

Binomial Theorem

Write the general term in the expansion of $(x_{2}−y)_{6}$

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

$T_{r+1}=_{6}C_{r}(x_{2})_{6−r}(−y)_{r}=(−1)_{r}6C_{r}x_{12−2r}y_{r}$