Question $2(10$ points$)$

Match the following expressions to their correct reductions

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

$a+bc{a}^{\text{'}}$

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

$ab+ac$

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

$ab+c{d}^{\text{'}}$

$a^{\text{'}}b+ac$

$a+bc$