Draw the syntax trees for the following terms of lambda calculus. You need to follow the parsing conventions described in Section $5\mathrm{.}1,$ for example to understandthatxyxisjustlessparenthesizednotationfor$(($xy$)$x$)[3$points each$]$:

$($a$)$ Ax$.$Ay$.($xy$)($b$)$ Ax$.$x$($Ayy$.$ y$)$

$($c$)$ xAx.xyx