Question

prove algebraically that (X+XY) =X+Y​

Answer 1

Correct Question:-

➡ Prove that (X + X'Y) = X + Y

Proof:-

Taking LHS,

X + X'Y

= X.1 + X'Y (X.1 = X)

= X.(1 + Y) + X'Y (1 + Y = 1)

= X + XY + X'Y

= X + Y(X + X')

= X + Y.1 (X + X' = 1)

= X + Y (Y.1 = Y)

Taking RHS,

= X + Y

Hence, LHS = RHS

So,

X + X'Y = X + Y (Hence Proved)