All of you know that a^{2 }- b^{2} = (a+b)(a-b)

I know only two method to prove it.

a^{2 }- b^{2 }a^{2 }- b^{2}

a^{2 }- b^{2 }+ ab - ab a^{2 }- b^{2} + 2ab -2ab -2b^{2}

a^{2 }+ ab - ab - b^{2 }(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.

**Edited by Utkrisht123, 24 March 2013 - 03:59 AM.**