Beauty of mathematics
Got this in email, thought i should share it with u guys
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321
Beast666
The reason this "works" is that with a=b, a-b = 0, and division by zero does not make sense. When you divide out (a-b), you are dividing by zero.
How about this one then?
* Let a and b be equal non-zero quantities
a = b
* Multiply through by a
a^2 = ab
* Subtract b^2
a^2 − b^2 = ab − b^2
* Factor both sides
(a − b)(a + b) = b(a − b)
* Divide out (a − b)
a + b = b
* Observing that a = b
b + b = b
* Combine like terms on the left
2b = b
* Divide by the non-zero b
2 = 1
smart