I'll bet you never knew

high school math- 2 = 1

let's prove it:

okay, so we have a
and b
and now a = b. with me so far?
here it gets tricky
a = b
so a^2 = b^2
subtract b^2
so now a^2 - b^2 = b^2 - b^2
that's a difference of squares, so factor it:
(a+b) (a-b) = (b) (b-b)
replace each a with b, cuz they're equal
so (b + b)(b - b) = (b)(b - b)
divide each side by (b - b)
and then b + b = b
1 + 1 = 1
2 = 1
anyone wanna challenge that?