Simple proof of Boolean Algebra

[nahanksh]

Homework Statement

Prove (x+y)(y+z)(x'+z) = (x+y)(x'+z)

Homework Equations

The Attempt at a Solution

On LHS, i have done till

=(y+xz)(x'+z) 1st- distributive

=x'y+yz+xz 2nd- distributive(2ce)

=(x+y)(x'+z) 3rd-?


For third procedure, what properties should be used?
I think it could be done in one step but i can't figure it out...

Could someone please help me out here?

 

[vela]

Add xx' so you can factor it. It won't change anything since xx'=0.