Utkrisht123

I always wonder what is 0⁰?

Is it 0, 1 or not defined or infinity

I need help in level 50 of triogical

A and B played a game with some amount. They agreed that whoever will lose have to give half his amount to the winner.

They played 100 games and a result was that A won First game B won next two games A won next three games and so on

A B B A A A B B B B A A A A A...............

Who will have graeter amount after the 100th game?

All of you know that a² - b² = (a+b)(a-b)

I know only two method to prove it.

  a² - b²                                                                               a² - b²

  a² - b²  + ab - ab                                            a² - b² + 2ab -2ab -2b²

 a² + ab - ab - b²                                                           (a+b)² - 2b(a+b)

 a(a+b) - b(a+b)                                              (a+b)(a+b) - 2b(a+b) 

 (a-b)(a+b)                                                      (a+b)(a+b-2b)

                                                                        (a+b)(a-b)

Apart form these two method are there any other method to prove it.

Perfect numbers are number whose sum of factors are twice the number itself. 

Example   

1. 6 factors of 6 are 1,2,3 and 6 sum=12 i.e 2 * 6

2. 28 factors 1,2,4,7,14,28 sum=56 i.e 2 * 28

can you tell any other perfect no?