Question

Phân tích thành nhân tử: \(x+3\sqrt{x+2}-2\)

Answer 1

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

\(=x+2+3\sqrt{x+2}-4\)

\(=\left(\sqrt{x+2}\right)^2+4\sqrt{x+2}-\sqrt{x+2}-4\)

\(=\left(\sqrt{x+2}+4\right)\left(\sqrt{x+2}-1\right)\)

Answer 2

\(x+3\sqrt{x+2}-2=x+2+3\sqrt{x+2}-4\)

\(=x+2-\sqrt{x+2}+4\sqrt{x+2}-4\)

\(=\sqrt{x+2}\left(\sqrt{x+2}-1\right)+4\left(\sqrt{x+2}-1\right)\)

\(=\left(\sqrt{x+2}-1\right)\left(\sqrt{x+2}+4\right)\)