Using Boolean algebra, simplify the given expression as much as possible:

A B$^\text{'}+$A B C$+$A$^\text{'}$ B$+$B C$^\text{'}$

Question $6(10$ points$)$: Using Boolean algebra, simplify the given expression as much as possible:

$($A B C$+$A$^\text{'}$ B$+$A B$^\text{'})($A$+$C D$)$

Question $7(10$ points$)$: Construct a truth table for the given Boolean expressions:

A B$^\text{'}+$A$^\text{'}$ C$+$B$^\text{'}$ C$^\text{'}$

Question $8(10$ points$)$: Construct a truth table for the given Boolean expressions:

$($A$^\text{'}+$B$)($A$+$C$^\text{'})($B$^\text{'}+$C$^\text{'})$