Proving the Distributive property

Discussion in 'Homework Help' started by jheld, Jan 24, 2009.

  1. jheld

    Thread Starter New Member

    Jan 24, 2009
    1
    0
    The problem is:
    Prove this identity by algebraic manipulation:
    x+yz = (x+y) * (x+z)

    I am a little stuck on this problem.

    I figured for the first step I could do this:
    x*1 + yz
    But after that, I get stuck again.

    Thanks for any and all help :)
     
  2. studiot

    AAC Fanatic!

    Nov 9, 2007
    5,005
    513
    Depends what x,y and z are.

    Are you talking Boolean?
     
  3. Ratch

    New Member

    Mar 20, 2007
    1,068
    3
    jheld,

    Although considering the problem as Boolean is only way to satisfy the equation, you should have specified it Boolean or algebraic.

    Let's start:

    1) (x+y)*(x+z)
    2) Taking the dual, we get xy+xz = x(y+z)
    3) Taking the dual again, we get x+yz, which is what you wanted to prove.

    Ratch
     
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