(A+B)+CA+(B+C)
A.(B+C)(A.B)+(A.C)
A+BB+A
A+AA E. None of the above
Answer is Right!
Answer is Wrong!
The correct answer is A.
The commutative law states that the order in which you add or multiply two numbers does not change the result. In Boolean algebra, this law can be expressed as $A+B=B+A$ and $AB=BA$.
Option A is the only option that satisfies both of these conditions. Option B does not satisfy the commutative law of addition, because $(A.B)+(A.C)\neq(A.C)+(A.B)$. Option C does not satisfy the commutative law of multiplication, because $A+BB+A\neq A+BA+A$. Option D does not satisfy either the commutative law of addition or the commutative law of multiplication, because $A+AA\neq A+A$. Option E is not a Boolean algebra statement.