Truth table to prove an argument true/false

Question

Can someone help me out with truth tables? I would like to create a truth table to prove whether or not this is true.

Answer 1

A  B  C    B∧C   A∨(B∧C)  A ∨ B   A ∧ C    (A ∨ B) ∨ (A ∧ C)
0  0  0     0       0        0        0               0
0  0  1     0       0        0        0               0
0  1  0     0       0        1        0               1 
0  1  1     1       1        1        0               1 
1  0  0     0       1        1        0               1
1  0  1     0       1        1        1               1
1  1  0     0       1        1        0               1
1  1  1     1       1        1        1               1

When A=0, B=1 and C=0

A ∨ (B ∧ C) = 0
(A ∨ B) ∨ (A ∧ C) = 1 ∨ 0 = 1

So A ∨ (B ∧ C) = A ∨ B) ∨ (A ∧ C) is false.