Simplify the following Boolean Expressions using Boolean Algebra Laws. Indicate the name of the law applied for each line:

$1.$ Z $=$ A $$ A $$ B

$2.$ Z $=$ A $($A $$ B$)$

$3.$ Z $=$ A $$ B $$ A $($B $$ C$)$ B $($B $$ C$)$

$4.$ Z $=($A $$ B$)($A $$ C$)$

$5.$ Z $=($A $$ B$)($B $$C$)($B $$ C