$1)\sqrt{xy}-x$
$=\sqrt{x}(\sqrt{y}-\sqrt{x})$
$2)x+y-2\sqrt{xy}$
$=(\sqrt{x}-\sqrt{y})²$
$3)x\sqrt{y}-y\sqrt{x}$
$=\sqrt{xy}(\sqrt{x}-\sqrt{y})$
$4)2\sqrt{5}-2\sqrt{10}-\sqrt{3}+\sqrt{6}$
$=2\sqrt{5}(1-\sqrt{2})-\sqrt{3}(1-\sqrt{2})$
$=(1-\sqrt{2})(2\sqrt{5}-\sqrt{3})$
$5)\sqrt{35}-\sqrt{14}$
$=\sqrt{7}(\sqrt{5}-\sqrt{2})$