Monday, December 21, 2009

A Problem From Afar


My Dear Dear students from last year! It's been a while and I needed to know that you haven't stopped thinking and started memorizing random facts. I miss you all terribly and to show how much I miss you I shall pose a small question to you that should surely look like a "mole hill" to you when compared to your prior achievements. 


Is there a geometric proof of the algebraic statement below?


a2 – b2 = (a+b)(a-b)


If so, share your suggestion or proof by commenting to this post and remember, you'll have to communicate a visual idea through words because it'll be hard to share images when commenting. Goodluck!