Is there anything you can do to a^2 + b^2 i.e can you factorise it somehow or is it only a^2 - b^2 you can factorise?

Thanks!

Printable View

- February 6th 2006, 02:17 AMphgaoa^2 + b^2
Is there anything you can do to a^2 + b^2 i.e can you factorise it somehow or is it only a^2 - b^2 you can factorise?

Thanks! - February 6th 2006, 02:48 AMjacs
a² - b² = (a - b)(a + b)

*the difference of two squares*

one way of manipulating a² + b² which comes in handy for some applications (especally in parametrics) is this

a² + b² = (a + b)² - 2ab - February 6th 2006, 03:05 AMrgepQuote:

Originally Posted by**phgao**

- February 6th 2006, 03:26 AMphgao
Ah, thanks to both of you. Especially the factorization with

*i*.