Boolean expression simplified

Question

c. Interpret the following complex Boolean expression and produce a truth table and a logic circuit?

---

---

(x+y•x) + (x•y)

.=AND +=or

Answer 1

If the dot is "and" then $(x+yx) +xy \stackrel{xy=yx}{=} x(1+y)+xy \stackrel{1+y=1}{=} x+xy = x(1+y) = x$