Question

Разложите на множители 2х^2-5ху+2у^2

Answer 1

$2x^2-4xy+2y^2-xy=(sqrt{2}*x-sqrt{2}*y)^2-xy=$
$(sqrt{2}*x-sqrt{2}*y-sqrt{xy})(sqrt{2}*x-sqrt{2}*y+sqrt{xy})$