Question

example 1
$a + a\cdot b = a$

Explanation:

Step1: Factor out common term A

$A + A\cdot B = A(1 + B)$

Step2: Apply Boolean identity 1+B=1

$A(1 + B) = A\cdot1$

Step3: Apply Boolean identity A·1=A

$A\cdot1 = A$

Answer:

The identity $A + A\cdot B = A$ is proven using Boolean algebra rules.