Question

Phân tích đa thức thành nhân tử:

a. \(x-2\sqrt{x}\)

b. \(6+\sqrt{x}-x\)

Answer 1

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

b) \(6+\sqrt{x}-x=6+3\sqrt{x}-2\sqrt{x}-x=3\left(2+\sqrt{x}\right)-\sqrt{x}\left(2+\sqrt{x}\right)=\left(2+\sqrt{x}\right)\left(3-\sqrt{x}\right)\)

Answer 2

a) \(x-2\sqrt{x}\)

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

b) \(6+\sqrt{x}-x\)

\(=6+3\sqrt{x}-2\sqrt{x}-x\)

\(=\left(6+3\sqrt{x}\right)-\left(2\sqrt{x}+x\right)\)

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

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