General term in \((a/x+b)^n\) for JEE

Formula

\[T_{r+1}={n\choose r}\left(\frac{a}{x}\right)^{n-r}b^r={n\choose r}a^{n-r}b^r x^{r-n}\]

Variables: \(r=0,1,2,\dots,n\).

Conditions: \(x\ne 0\).

Finding constant term, powers of \(x\), term with given exponent.