Ok, so obviously 1 is not equal to 0, but I will go through a simple few lines of algebra that seem reasonable at first glance, but lead to the shocking conclusion that 1=0. It is a good test of your basic understanding to show me why this is wrong... see if you can find the error and let me know!
We start with the equation
Now multiply both sides by to get
Subtracting one from both sides gives
Factorize the left hand side and divide both sides by .
The factors cancel to leave