The "false face" theme is a theme focused on lies and deceit. It's all about appearing one way, but being the opposite. Macbeth and Lady Macbeth are both good examples of this. Lady Macbeth tells her husband in Act 1, Scene 5 to behave publicly one way in order to hide the inner desires:

Your hand, your tongue: look like the innocent flower,
But be the serpent under't.

This is not the first time that Macbeth has considered deception as a means to an end. Audiences heard it back in Act 1, Scene 4 when Macbeth is trying to hide his inner desires from other people, as well as himself. He doesn't want light shining on his secret desires, and he is averse to even allowing his own eyes to witness what evil his hands are prepared to do:

Stars, hide your fires;

Let not light see my black and deep desires.

The eye wink at the hand, yet let that be

Which the eye fears, when it is done, to see.

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