Quiz (1 point)
Prove that:
(a - b) ⋅ c = (a ⋅ c) - (b ⋅ c)
The following properties may be helpful:
- a - b = a + (b ⋅ (-1))
- (a + b) ⋅ c = (a ⋅ c) + (b ⋅ c)
- (a ⋅ b) ⋅ c = (a ⋅ c) ⋅ b
- a + (b ⋅ (-1)) = a - b
if a = b, then a ⋅ c = b ⋅ c
if a = b, then x + a = x + b
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- b = c
then a = c
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.