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