Given: a=b
Multiply a to both sides:
a^2=ab
Subtract b^2 from both sides:
a^2-b^2=ab-b^2
Factor both sides:
(a+b)(a-b)=b(a-b)
divide both sides by (a-b):
a+b=b
since a=b as given from the beginning, substitute a for b
b+b=b
simplify
2b=b
divide by b
2=1
Now last time I checked 2 doesnt equal 1. What step in this process is wrong?