Question

Prove that X + XY = X by​

Answer 1

Answer:

Explanation:Example: Prove the ABSORPTION LAW:

x(x+y)=x

Solution:x(x+y)=(x+0)(x+y)IdentityLaw=x+(0⋅y)DistributiveLaw=x+y⋅0CommutativeLaw=x+0DominationLaw=xIdentityLaw

I was given an example here and shown one method of solving it. I was told there was an alternative solution to it and I was curious about it.

This is one method of proving the problem.

The alternative method suggested solving the same expression in the order of:

DISTRIBUTIVE LAW, IDEMPOTENT LAW, DISTRIBUTIVE LAW, DOMINANCE LAW, and IDENTITY LAW.

When I try, I get stuck here:

Solution:x(x+y)=(x⋅x)+(x⋅y)DistributiveLaw=x+(x⋅y)IdempotentLaw=(x+x)(x+y)DistributiveLaw

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