Simplify the following functional expression

Simplify the following functional expression using Boolean algebra and its identities. List the identity used at each step.
F(x, y, z) = x'y + xyz' + xyz

I think I know how to do this one but I want to make sure. I have a test coming up and this is a review question. My book is horrible when it comes to providing good examples with answers so that I know I am working it correctly.

The other question I was not to sure about is:
Use a truth table to prove the following either True for False.
yz + xyz' + x' y' z = xy + x' z

If I can get the answers to a few of the questions I can figure out the rest of them based on these examples.

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...it as

So .

Problem #2
Use a truth table to check the statement ...