Question $3$: Using the Pumping lemma to prove that the given language is not context free. $[3$ mark$]$ Language:

$\{$a$^$m b$^$n c$^$mn :m$>=0,$ n$>=0\}\{$a$^$n b a$^2$n ba$^3$n : n$=>0\}\{$a$^$n b$^$n a$^$n b$^$n :n$>=0\}$ define all cases