Question

Simplify using distributive law ;
1.) X n ( X n Y )
2.) ( X n Y ) u ( X n Y )​

Answer 1

X n Y , X n Y

Explanation:

1) Use Associative law:

X n (X n Y) = (X n X) n Y

Idempotent law:

= X n Y

2) it is in the 'distributed' form, thus we need to reverse the distribution,

akin to 'factorization':

(X n Y) u (X n Y) = (X n (Y u Y))

which can be further simplified using idempotent law:

= X n Y