>>6
For the retards, because I've actually had stupid people show me this in real life who act like they were geniuses. It's really pissing me off. Whoever started it is a master troll.
a = b
Using both a and b just confuses stupid people, so I'll just substitute a. Our example will set a to 3 for illustration.
a = a
ex. a = 3, 3 = 3
Multiply by a
a^2 = ab
Let's further simplify the exponents, as they confuse stupid people.
aa = aa
ex. 9 = 9
add a^2
2(a^2) = (a^2) + ab
2(aa) = aa + aa
ex. 18 = 18
Subtract 2ab from each side
2(a^2) - 2ab = (a^2) - ab
2(aa) - 2aa = aa - aa
ex. 0 = 0
(A step was actually skipped on the right side, going from "aa + aa - 2aa" to "aa - aa".)
2((a^2)-ab)=(a^2)-ab
2(aa - aa) = aa - aa
ex. 2(0) = 0, 0 = 0
divide by ((a^2) - ab)
Divide by "(aa - aa)", which is 0.
ex. 2(0) / 0 = 0 / 0, undefined.
That's the trick. It's valid, if misleading, until the last step, which is simple division by 0. Which isn't allowed and doesn't work.