General term in \((ax+b)^n\) for JEE

Formula

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

Variables: \(r=0,1,2,\dots,n\); \(a,b\) constants.

Conditions: \(n\) is a positive integer.

Coefficient of \(x^k\), term independent of \(x\), variable-power matching.