X : B(1, p)

Y: B(1, p)

What's the distribution of X-Y?

Now, X: B(1, p1) and Y: B(1, p2)

What about X+Y?

First one (similar approach for second one) above I get :

Value 0 with prob 1 - 2p^2

Value -1 with prob p^2

Value 1 with prob p^2

Are these any of the standard distributions? I somehow feel can't be this simple!

thnx in advance!