\(Q=\left(3-\dfrac{x+\sqrt{x}}{\sqrt{x}+1}\right)\left(3+\dfrac{x-\sqrt{x}}{\sqrt{x}-1}\right)\)
\(Q=\left(3-\dfrac{\sqrt{x}\left(\sqrt{x}+1\right)}{\sqrt{x}+1}\right)\left(3+\dfrac{\sqrt{x}\left(\sqrt{x}-1\right)}{\sqrt{x}-1}\right)\)
\(Q=\left(3-\sqrt{x}\right)\left(3+\sqrt{x}\right)\)
\(Q=3^2-\left(\sqrt{x}\right)^2\)
\(Q=9-x\)
\(Q=\left(3-\dfrac{\sqrt{x}\left(\sqrt{x}+1\right)}{\sqrt{x}+1}\right)\left(3+\dfrac{\sqrt{x}\left(\sqrt{x}-1\right)}{\sqrt{x}-1}\right)\)
=(3-căn x)(3+căn x)
=9-x
\(Q=\left(3-\dfrac{x+\sqrt{x}}{\sqrt{x}+1}\right)\left(3+\dfrac{x-\sqrt{x}}{\sqrt{x}-1}\right)\)
\(=\left[3-\dfrac{\sqrt{x}\left(\sqrt{x}+1\right)}{\sqrt{x}+1}\right]\left[3+\dfrac{\sqrt{x}\left(\sqrt{x}-1\right)}{\sqrt{x}-1}\right]\)
\(=\left(3-\sqrt{x}\right)\left(3+\sqrt{x}\right)\)
\(=9-x\)