Final answer:
To simplify the given Boolean expression xy+xy', we can eliminate the common term xy and use the distributive property to simplify it further.
Step-by-step explanation:
To simplify the given Boolean expression xy+xy', we can eliminate the common term xy. This leaves us with xy'+xy, which can be further simplified as xy+x(y'). Using the distributive property, we can simplify it to xy+xy', and since y+y' is always equal to 1, the final simplified expression is xy.
So, the simplified form of the Boolean expression xy+xy' is xy.
Example:
If x = true and y = false, then xy = true * false = false. Similarly, xy' = true * true = true. Therefore, xy+xy' = false + true = true, which matches the simplified expression xy.
To simplify the Boolean expression xy+xy', the common term xy is eliminated, resulting in xy'+xy. This is further simplified using the distributive property to xy+x(y'). Leveraging the fact that y+y' always equals 1, the final simplified expression is xy.