Question

2x - 5 căn xy + 3y

 

Answer 1

\(2x-5\sqrt{xy}+3y\\ =2x-2\sqrt{xy}-3\sqrt{xy}+3y\\ =2\sqrt{x}\left(\sqrt{x}-\sqrt{y}\right)-3\sqrt{y}\left(\sqrt{x}-\sqrt{y}\right)\\ =\left(2\sqrt{x}-3\sqrt{y}\right)\left(\sqrt{x}-\sqrt{y}\right)\)

Answer 2

\(2x-5\sqrt{xy}+3y\)

\(=2x-2\sqrt{xy}-3\sqrt{xy}+3y\)

\(=2\sqrt{x}\left(\sqrt{x}-\sqrt{y}\right)-3\sqrt{y}\left(\sqrt{x}-\sqrt{y}\right)\)

\(=\left(\sqrt{x}-\sqrt{y}\right)\left(2\sqrt{x}-3\sqrt{y}\right)\)