Consider the following grammar:

$=$

$A|B|C$

$+$

$|*$

$|()$

$|$

Show a parse tree and leftmost derivation for the following statements:

$($a$),A=A**(B+C)$

$($b$),A=A+(B**(C+A))$Consider the following grammar:

$->=$

$->$ A $|$ B $|$ C

$->+$

$|*$

$|()$

$|$

Show a parse tree and leftmost derivation for the following statements:

$($a$)$ A $=$ A $*($B $+$ C$)$

$($b$)$ A $=$ A $+($B $*($C $+$ A$))$