Này nhóm kiểu gì nữa em

Em xem lại đề nhe!

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

\(x\sqrt{x}+2x+\sqrt{x}+2\left(x>0\right)\)

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

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

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

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

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

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

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

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

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

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

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

\(x^3+2x-3\)

\(=x^3-x^2+x^2-x+3x-3\)

\(=x^2\left(x-1\right)+x\left(x-1\right)+3\left(x-1\right)\)

\(=\left(x-1\right)\left(x^2+x+3\right)\)

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

\(2x+5\sqrt{x}-3=\left(\sqrt{x}+3\right)\left(2\sqrt{x}-1\right)\)

\(5-7x^2=\left(\sqrt{5}\right)^2-\left(x\sqrt{7}\right)^2\)

\(=\left(\sqrt{5}-x\sqrt{7}\right)\left(\sqrt{5}+x\sqrt{7}\right)\)

\(3+4x=\left(\sqrt{3}\right)^2-\left(2\sqrt{x}\right)^2\) ( do x<0 )

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