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