Simplify each of the statements below using boolean laws and identities. Show your work.

a$.A+A,=$

b$.A+AB=$

c$.A(A^{\text{'}}+B)=$

d$.AB+A^{\text{'}}B=$

e$.A+A{A}^{\text{'}}=$

f$.A^{\text{'}}+A{B}^{\text{'}}=$

g$.(A+B^{\text{'}})(A+B)=$