Question

Prove the Absorption Laws

Answer 1

Answer:

The absorption law states that: X+XY=XX+XY=X

Which is equivalent to (X⋅1)+(XY)=X

Answer 2

Step-by-step explanation:

The absorption law states that: X+XY=X

Which is equivalent to (X⋅1)+(XY)=X

No problem yet, it's this next step that stumps me. How can I apply the distributive law when there are two "brackets"?

How can I manipulate (X⋅1)+(XY)=X to give me X⋅(1+Y)?

I understand that the absorption law works. I would just like to see how the algebra proof works.

Thank you!