Question

phân tích đa thức thành nhân tử xy-y\(\sqrt{x}\)+\(\sqrt{x}\)-1

Answer 1

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

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

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

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

Answer 2

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

\(=\left(\sqrt{x}\right)^2.y-y\sqrt{x}+\sqrt{x}-1\)

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

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

Answer 3

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

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