Simplify the following expression using boolean:

Z=(WX)+X+Y

 

Right, you'll notice that the (WX) term is redundant, as X will already have to be true for WX to be true, and X alone is sufficient to make Z true as well.

 

EDIT: I was wrong here to say throw away the X term.

Look at this this way with the (I think) associative property.
If you have an expression like A(B + C) you can rewrite the equation AB + AC. Similarly you can write A(B+1) = AB + A. If you apply that to your expression, you should be able to see how to simplify.

 

Simplify the following expression using boolean:

Z=(WX)+X+Y

Using * to represent the "and" function and + to represent "or", we have:

(WX)+X+Y = W*X + X*1 + Y = X*(W+1) + Y = X*(1) + Y = X+Y