Final answer:
The Identity Law of Boolean Algebra, which states A + 1 = 1, is applied to simplify the equation ABC + BC + A to BC + A.
Step-by-step explanation:
The law of Boolean Algebra applied in the equation ABC + BC + A = BC(A + 1) + A is the Identity Law. The Identity Law states that any variable ORed with 1 will result in 1, which is symbolically represented as A + 1 = 1. When you apply this to the term BC(A + 1), it simplifies to BC(1), which is just BC. Thus, the given equation simplifies to BC + A, showing the application of the Identity Law.