Is 2 = 1? Check out how I proved it!

Today, I'm gonna show you an amazing mathematical trick I found whereby I can prove that 2 = 1.

So here it goes.

To prove: 2 = 1

Proof: Let a = b

Multiply both the side with a

⇒ a² = ab
Subtract both sides with b²
⇒ a² - b² = ab - b²
⇒ (a + b)(a - b) = b(a - b)
⇒ (a + b)(a - b) = b(a - b)
⇒ a + b = b
Substitute a by b
⇒ b + b = b
⇒ 2b = b
Divide both the sides by b, we get
2 = 1

Hence Proved

Now, I know that many of you might be puzzled with what I did. But that was amazing. Now, the question is Is maths wrong?

Well, I can answer what's wrong in our calculations.

We see that a was equal to b

⇒ a - b = 0

In this step: (a + b)(a - b) = b(a - b), we divide both sides by a - b so that we can get a + b, but anything divided by 0 = undefined. The answer here is undefined but if we still carry the calculations further, we see there can be many outcomes that might be like wooaahhhh, what did this guy just do?!

If you think this trick amazed you, please let me know by commenting.