Answer:

6 x (7 + 3) = (6 x 7) + (6 x 3)
6 x (7 - 3) = (6 x 7) - (6 x 3)
In the example above the 6 has been distributed to both numbers inside the bracket by multiplication. This would have been true whatever numbers had been used. So it is said that multiplication is distributive over addition and subtraction.

For real numbers, addition distributes over the maximum operation, and also over the minimum operation: a + max (b,c) = max (a + b, a + c) and a + min (b,c) = min (a + b, a + c).