Question

Find by using Boolean algebra (A'+B).(A+B)=A'.B + A.B'

Answer 1

Hey mate,

Term (A'B + AB') is an exclusive or of A and B.

The inverted term (A'B + AB')' is only true for A = B.

This can be written as (AB + A'B').

Conjunction (AB + A'B')(A + B) can be "multiplied out" to (ABA + A'B'A + ABB + A'B'B).

As pointed out by @Joe:

Terms like A'B'B vanish. Terms ABA and ABB are both equivalent to AB.

An easy alternative proof would be to write two truthtables.

Hope it will help you

Answer 2

Hope it helps you

Thanks