$(20$ points$)$ Boolean vs Algebraic Expressions For each of the following factored forms, say whether they are Boolean or algebraic and explain why.

$($a$)ab+(c+d)(a+b{)}^{\text{'}}$

$($b$)a{b}^{\text{'}}c+a^{\text{'}}bc+de$

$($c$)c(a^{\text{'}}+b+c^{\text{'}})+b+d$

$($d$)(a+b^{\text{'}}c)(d+a^{\text{'}}e)$