The \(\operatorname{GARCH}(1,1)\) model shown below can also be reexpressed as an \(\operatorname{ARCH}(q)\) model, where \(q\) is a large number (in fact, infinity). Derive the ARCH form of a GARCH model using the method of recursive substitution.

\[h_{t}=\delta+\alpha_{1} e_{t-1}^{2}+\beta_{1} h_{t-1}\]