Let me prove 0/0=2

Algebra Level 3

Here is the proof of $$\dfrac 00=2$$:

Step 1: $\dfrac 00 =\dfrac{100-100}{100-100}$

Step 2: $=\dfrac{10^2-10^2}{10(10-10)}$

Step 3: $=\dfrac{(10+10)(10-10)}{10(10-10)}$

Step 4: $= \dfrac{10+10}{10}$

Step 5: $=2.$

Since 0/0 is an indeterminate form, we can't equate it to any real number. Then which step of the above is faulty?

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