UsingthegrammarinExample$3\mathrm{.}2,$showaparsetreeandaleftmost derivation for each of the following statements:$1.$ A $=$ A $*($B $+($C $*$ A$))2.$ B $=$ C $*($A $*$ C $+$ B$)3.$ A $=$ A $*($B $+($C$))$