Question

Phân tích thành nhân tử

Answer 1

\(xy-y\sqrt{x}+\sqrt{x}-1\\ =\left(xy-y\sqrt{x}\right)+\left(\sqrt{x}-1\right)\\ =\sqrt{x}y\left(\sqrt{x}-1\right)+\left(\sqrt{x}-1\right)\\ =\sqrt{x}y\left(\sqrt{x}-1\right)\)

Answer 2

\(xy-y\sqrt{x}+\sqrt{x}-1\)

\(=\sqrt{x}y\left(\sqrt{x}-1\right)+\left(\sqrt{x}-1\right)\)

\(=\left(\sqrt{x}-1\right)\left(\sqrt{x}y+1\right)\)

Answer 3

\(xy-y\sqrt{x}+\sqrt{x}-1\\ =\left(xy-y\sqrt{x}\right)+\left(\sqrt{x}-1\right)\\ =\sqrt{x}y\left(\sqrt{x}-1\right)+\left(\sqrt{x}-1\right)\\ =\left(\sqrt{x}y+1\right)\left(\sqrt{x}-1\right)\)