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