Proving the Distributive property

Thread Starter

jheld

Joined Jan 24, 2009
1
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 :)
 

Ratch

Joined Mar 20, 2007
1,070
jheld,

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
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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