# 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?