Chapter 13, Problem 8SE

To determine

(a)

To prove:

$A\left(B\cup C\right)=AB\cup AC$.

To determine

(b)

To prove:

$A\left(B\cap C\right)=AB\cap AC$.

To determine

(c)

To prove:

$\left(AB\right)C=A\left(BC\right)$.

To determine

(d)

To prove:

${\left(A\cup B\right)}^{*}=A^{*}\cup B^{*}$.