Quiz (1 point)
Prove that:
(a ⋅ 2) + (a ⋅ (-2)) = 0
The following properties may be helpful:
- a + (a ⋅ (-1)) = 0
- (a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)
- 2 ⋅ (-1) = -2
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 = c
- b = d
then a + d = 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.