3. Use perfect induction to prove the distribution theorems 8 as well as 8D, given in the lecture notes. For each write a truth table that has the ordered triple

X, Y, Z on the left as inputs, as well as the left and right side of each theorem to the right. Do not attempt to simplify the theorems. а. Т8: X·(Y + Z) = X·Y + X·Z b. T8D: X + Y ·Z =(X + Y)·(X + Z)