$[10$ pts$]$ For the context$-$free grammars $G_1$

and $G_2,\{\begin{array}{cc}\text{:}[SSA|ab,& ]\\ A\text{a}\text{a}\text{A}& |aa,\\ SA|ab,\\ AbA|aB,\\ BbbB|bb,\end{array}$

and $G_2$

find context$-$free grammars for $L(G_1)L(G_2).$