# 1 = 2 Proof

What step is incorrect?

Step 1: Let $$A$$ = $$B$$

Step 2: Then $$A^2$$ = $$B^2$$

Step 3: $$A^2$$ + $$A^2$$ = $$A^2$$ + $$AB$$

Step 4: $$2A^2$$ = $$A^2$$ + $$AB$$

Step 5: $$2A^2$$ - $$2AB$$ = $$A^2$$ + $$AB$$ - $$2AB$$

Step 6: and $$2A^2$$ - $$2AB$$ = $$A^2$$ - $$AB$$

Step 7: This can be written as $$2(A^2$$ - $$AB)$$ = $$1(A^2$$ - $$AB)$$

Step 8: and cancelling the $$(A^2$$ - $$AB)$$ from both sides gives 1 = 2

×