Đáp án+Giải thích các bước giải:
`A=(\frac{a\sqrt{a}-1}{a-\sqrt{a}}-\frac{a\sqrt{a}+1}{a+\sqrt{a}}):\frac{a+2}{a-2}(a\ne±2;a\ne1;a>0)`
`A=(\frac{(\sqrt{a}-1)(a+\sqrt{a}+1)}{\sqrt{a}(\sqrt{a}-1)}-\frac{(\sqrt{a}+1)(a-\sqrt{a}+1)}{\sqrt{a}(\sqrt{a}+1)}).\frac{a-2}{a+2}`
`A=(\frac{a+\sqrt{a}+1}{\sqrt{a}}-\frac{a-\sqrt{a}+1}{\sqrt{a}}).\frac{a-2}{a+2}`
`A=(\frac{a+\sqrt{a}+1-a+\sqrt{a}-1}{\sqrt{a}}).\frac{a-2}{a+2}`
`A=\frac{2\sqrt{a}}{\sqrt{a}}.\frac{a-2}{a+2}`
`A=\frac{2(a-2)}{a+2}`
`A=\frac{2a-4}{a+2}`