Question

Phân tích thành nhân tử a) \(\sqrt{xy}-x\) b) ​\(x+y-2\sqrt{xy}\) c) \(\sqrt{xy}+2\sqrt{x}-3\sqrt{y}\)-6 d) \(x\sqrt{y}-y\sqrt{x}\)

Answer 1

Câu a : \(\sqrt{xy}-x=\sqrt{x}\left(\sqrt{y}-\sqrt{x}\right)\)

Câu b : \(x+y-2\sqrt{xy}=\left(\sqrt{x}-\sqrt{y}\right)^2=\left(\sqrt{x}-\sqrt{y}\right)\left(\sqrt{x}-\sqrt{y}\right)\)

Câu c : \(\sqrt{xy}+2\sqrt{x}-3\sqrt{y}-6=\sqrt{x}\left(\sqrt{y}+2\right)-3\left(\sqrt{y}+2\right)=\left(\sqrt{x}-3\right)\left(\sqrt{y}+2\right)\)

Câu d : \(x\sqrt{y}-y\sqrt{x}=\sqrt{xy}\left(\sqrt{x}-\sqrt{y}\right)\)