Quiz (1 point)
Prove that:
(a ⋅ (b ⋅ (-1))) ⋅ 2 = (a ⋅ b) ⋅ (-2)
The following properties may be helpful:
- (a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)
- (a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)
- (-1) ⋅ 2 = -2
if a = b, then a ⋅ c = b ⋅ c
if a = b, then c ⋅ a = c ⋅ b
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- a = c
then b = 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.