Prove the following theorems algebraically:

(a) x(x′ + y) = xy
(b) x + xy = x
(c) xy + xy′ = x
(d) (a + b)(a + b′) = a

Algebraic Theorem Proofs

Step-by-step explanation:

We have to prove the following in the question:

Theorems used:

(a) X(X′ + Y) = XY

(b) X + XY = X

(c) XY + XY′ = X

(d) (A + B)(A + B′) = A

this might get deleted, sorry. it has to be an actual question. if you really wanted to give someone free points, ask a question like "why does the sky look blue, and the sun is yellow to our eyes? "

step-by-step explanation: