Thread: Factoring sum of two squares

How would I factor 2(x^2 + y^2) to this x^2 + 2xy + y^2 + x^2 - 2xy + y^2. I know they are equal but I don't see a path to get there.

Thanks for any suggestions.

Originally Posted by nicnicman

How would I factor 2(x^2 + y^2) to this x^2 + 2xy + y^2 + x^2 - 2xy + y^2. I know they are equal but I don't see a path to get there.

Thanks for any suggestions.

Hello nicnicman.

, which is the same as because 2xy and -2xy cancel each other. I hope you understand.

Yes, I do. Thank you.