|
1. |
A |
= |
B |
Given |
|
2. |
A2 |
= |
AB |
Multiply by A (MPE) |
|
3. |
A2 – B2 |
= |
AB – B2 |
Subtract B2 (APE) |
|
4. |
(A + B)(A – B) |
= |
B(A – B) |
Factor both sides |
|
5. |
A + B |
= |
B |
Cancel common factors |
|
6. |
B + B |
= |
B |
Substitution (using step 1) |
|
7. |
2B |
= |
B |
Simplification |
|
8. |
2 |
= |
1 |
Cancel common factor. |