Question

Mn xem giúp e bài này đúng chưa 

 

Answer 1

\(A=\dfrac{x-1}{\sqrt{x}-1}-\dfrac{x\sqrt{x}+1}{x-1}\left(x\ne1;x\ge0\right)\)

\(A=\dfrac{x-1}{\sqrt{x}-1}-\dfrac{\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)

\(A=\dfrac{x-1}{\sqrt{x}-1}-\dfrac{x-\sqrt{x}+1}{\sqrt{x}-1}\)

\(A=\dfrac{x-1-\left(x-\sqrt{x}+1\right)}{\sqrt{x}-1}\)

\(A=\dfrac{x-1-x+\sqrt{x}-1}{\sqrt{x}-1}\)

\(A=\dfrac{\sqrt{x}-2}{\sqrt{x}-1}\)