已知0＜a＜1,化简：（根号下（a-1/a）²＋4）+（根号下（a+1/a）²-4）等于多少

Question

已知0＜a＜1,化简：（根号下（a-1/a）²＋4）+（根号下（a+1/a）²-4）等于多少

Answer 1

(1)(a+1/a)^2-4
=a²+2+1/a²-4
=a²-2+1/a²
=(a-1/a)²
-1