Distributive Laws
This law is similar to the Distributive law in Mathematics, but in this case you distribute both the number and the operator (V or ^) into the operation in the parenthesis.
xV (y ^ z) =
( xV y ^ xV z) =
( x V y) ^ (x V z)
x V (y ^ z) = (x V y) ^ (x V z)
x ^ (y V z) = (x ^ y) V (x ^ z)