Q:

Simplifying P AND (P OR NOT Q)

How can I simplify this? I've tried invoking Demorgan's Law and I get
P AND (NOT (NOT P AND Q)) but I can't seem to simplify this further.
The answer is P, but how can I prove this?

A:

$$P(P+\overline{Q})=P+P\overline{Q}=P$$

