Question Number 141994 by jlewis last updated on 25/May/21
$$\mathrm{factorise}\:\:\mathrm{x}−\sqrt{\mathrm{xy}\:}\:+\sqrt{\mathrm{2y}}\:−\sqrt{\mathrm{2x}\:}\: \\ $$
Answered by Dwaipayan Shikari last updated on 25/May/21
$${x}−\sqrt{{xy}}+\sqrt{\mathrm{2}{y}}−\sqrt{\mathrm{2}{x}} \\ $$$$=\sqrt{{x}}\left(\sqrt{{x}}−\sqrt{{y}}\right)−\sqrt{\mathrm{2}}\left(\sqrt{{x}}−\sqrt{{y}}\right) \\ $$$$=\left(\sqrt{{x}}−\sqrt{{y}}\right)\left(\sqrt{{x}}−\sqrt{\mathrm{2}}\right) \\ $$
Commented by jlewis last updated on 25/May/21
$$\mathrm{thanks} \\ $$