The math makes sense. Can you prove them wrong?

We have some bad news: Everything you know about math is one big, fat lie.

It goes all the way back to the first two numbers you ever learned: 1 and 2. It turns out these seemingly separate digits are, in fact, exactly the same, and that 1 actually equals 2. And we can prove it…

Let’s start with two values, A and B, and set them equal to each other. It doesn’t matter what that value actually is.

**1 = 1
**We begin with something simple.

**A = A
**This means the same thing.

**A = B
**As we’ve established, A = B, so we can substitute…

**A * A = A * B
**Multiply both sides by A.

**A****2 = AB
**Let’s simplify.

**A****2 – B2 = AB – B2
**Subtract a new term from both sides.

**(A + B)(A – B) = B(A – B)
**Just some simple factoring. (The difference of two squares and greatest common factor.)

**A + B = B
**Canceling common factors.

**B + B = B
**Remember: A = B, so we can substitute…

**2B = B
**…then we can group these up, and…

**2 = 1
**See? Told you.

So, have we convinced you that all of mathematics is a farce? Or can you find some sort of flaw in the logic?

**➡ The Hint**

You won’t need to dredge up all the secrets of algebra to find the flaw in a logical argument. No theorems required!

**Solution: Why Some People Think 1=2**