Question

Mn giúp mik vs ạ!!

Rút gọn biểu thức: C=\(\left(\dfrac{\sqrt{x}-1}{3\sqrt{x}-1}-\dfrac{1}{3\sqrt{x}-1}+\dfrac{8\sqrt{x}}{9x-1}\right):\left(1.\dfrac{3\sqrt{x}-2}{3\sqrt{x}+1}\right)\)

Answer 1

gủi nhầm lp roi

Answer 2

\(=\dfrac{\left(\sqrt{x}-1\right)\left(3\sqrt{x}+1\right)-\left(3\sqrt{x}-1\right)+8\sqrt{x}}{\left(3\sqrt{x}+1\right)\left(3\sqrt{x}-1\right)}:\dfrac{3\sqrt{x}+1-3\sqrt{x}+2}{3\sqrt{x}+1}\)
\(=\dfrac{3x-3\sqrt{x}-1+\sqrt{x}-3\sqrt{x}+1+8\sqrt{x}}{\left(3\sqrt{x}+1\right)\left(3\sqrt{x}-1\right)}:\dfrac{3}{3\sqrt{x}+1}\)
\(=\dfrac{\left(3x+3\sqrt{x}\right)\left(3\sqrt{x}+1\right)}{3\left(3\sqrt{x}+1\right)\left(3\sqrt{x}-1\right)}=\dfrac{3\left(\sqrt{x}+1\right)\sqrt{x}}{3\left(3\sqrt{x}-1\right)}=\dfrac{x+\sqrt{x}}{3\sqrt{x}-1}\)