Prove the following: 42 `xx` [7 + (-3)] = [42 `xx` 7] + [42 `xx` (-3)]

Prove the following: [(-50) xx (-2)] xx (-3) = (-50) xx [(-2) xx (-3)]

Prove the following: (-3) xx [(-4) + (-5)] = [(-3) xx (-4)] + [(-3) xx (-5)]

Prove the following: [(-4) xx (-3)] xx (-5) = (-4) xx [(-3) xx (-5)]

Prove the following: 103 xx 25 = (100 + 3) xx 25 = (100 xx 25) + (3 xx 25)

Check the following for equality: (8-13) xx 7 and 8 - (13 xx 7)

Find the values of the following and check for equality: (-3) xx [2 + (-8)] and [(-3) xx 2] + [(-3) xx 8]