Question

Phân tích thành nhân tử

\(x+5\sqrt{x}+6\)

Answer 1

\(x+5\sqrt{x}+6=x+2\sqrt{x}+3\sqrt{x}+6=\sqrt{x}\left(\sqrt{x}+2\right)+3\left(\sqrt{x}+2\right)=\left(\sqrt{x}+3\right)\left(\sqrt{x}+2\right)\)

Answer 2

\(x+5\sqrt{x}+6\)

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

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

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

Answer 3

\( x + 5\sqrt x + 6\\ = x + 3\sqrt x + 2\sqrt x + 6\\ = \sqrt x \left( {\sqrt x + 3} \right) + 2\left( {\sqrt x + 3} \right)\\ = \left( {\sqrt x + 3} \right)\left( {\sqrt x + 2} \right) \)