Question

How can we Factorize x^2 - 3xy + y^2?

Answer 1

$x^2 -3xy+y^2 = \\ =x^2-2xy+y^2-xy = \\ =(x-y)^2 - (\sqrt{xy})^2=\\ =(x-y-\sqrt{xy})(x-y+\sqrt{xy})\\ answer:\ (x-y-\sqrt{xy})(x-y+\sqrt{xy})$