Question

Cho E=(\(\frac{a\sqrt{a}-1}{a-\sqrt{a}}-\frac{a\sqrt{a}+1}{a+\sqrt{a}}\) ):\(\frac{a+2}{a-2}\)

Answer 1

ĐKXĐ:...

\(E=\left(\frac{\left(\sqrt{a}-1\right)\left(a+\sqrt{a}+1\right)}{\sqrt{a}\left(\sqrt{a}-1\right)}-\frac{\left(\sqrt{a}+1\right)\left(a-\sqrt{a}+1\right)}{\sqrt{a}\left(\sqrt{a}+1\right)}\right).\left(\frac{a-2}{a+2}\right)\)

\(=\left(\frac{a+\sqrt{a}+1}{\sqrt{a}}-\frac{a-\sqrt{a}+1}{\sqrt{a}}\right)\left(\frac{a-2}{a+2}\right)\)

\(=\frac{2\sqrt{a}}{\sqrt{a}}\left(\frac{a-2}{a+2}\right)=\frac{2a-4}{a+2}\)