ĐKXĐ:\(\sqrt{x}-1\ne0\Rightarrow\sqrt{x}\ne1\Rightarrow x\ne1\)
\(M=\left(1+\frac{x+\sqrt{x}}{\sqrt{x}+1}\right)\left(1-\frac{x-\sqrt{x}}{\sqrt{x}-1}\right)\)
\(M=\left(1+\frac{x+\sqrt{x}}{\sqrt{x}+1}\right)\left(1-\frac{-\left(x+\sqrt{x}\right)}{-\left(\sqrt{x}+1\right)}\right)\)
\(M=\left(1+\frac{x+\sqrt{x}}{\sqrt{x}+1}\right)\left(1-\frac{x+\sqrt{x}}{\sqrt{x}+1}\right)\)
\(M=1^2-\left(\frac{x+\sqrt{x}}{\sqrt{x}+1}\right)^2=1-\frac{\left(x+\sqrt{x}\right)^2}{\left(\sqrt{x}+1\right)^2}\)
\(M=1-\frac{\sqrt{x}\left(\sqrt{x}+1\right)^2}{\left(\sqrt{x}+1\right)^2}=1-\sqrt{x}\)