Which of the following Boolean equations represents the application of a distributive law: (choose all that are applicable) Question 3Select one or more: a. A.B + C = (A+B).C b. A.(B+C+D) = A.B + A.C +A.D c. A.(B + C) + C.( A + B) = A.B + 2A.C + B.C d. A.B + D = (A+D).(B + D)

The distributive law in Boolean algebra is similar to the distributive law in standard algebra. It states that for three variables A, B, and C, the equation A.(B + C) = A.B + A.C holds true.

Looking at the options:

a. A.B + C = (A+B).C This equation does not represent the distributive law. The distributive law would require the term on the right to be A.B + A.C, not (A+B).C.

b. A.(B+C+D) = A.B + A.C +A.D This equation does represent the distributive law. It's an extension of the law to more than two variables on the right side of the equation.

c. A.(B + C) + C.( A + B) = A.B + 2A.C + B.C This equation does not represent the distributive law. The distributive law does not involve multiplication of variables by 2.

d. A.B + D = (A+D).(B + D) This equation does not represent the distributive law. The distributive law would require the term on the right to be A.B + A.D, not (A+D).(B + D).

So, the correct answer is option b.