Boolean expression explanation

Question

Could someone explain how to get the following Boolean expression in its simplest form, I am having difficulties working it out step by step

$$A+B+A*B$$

Answer 1

Note that $A + B + AB = A(B + 1) + B = A + B$ (because $B + 1$ is always 1), so it simplifies to a simple OR function. This can be verified by the truth table as well.