一道简单的化简求值题,学霸请进!

求详细解题过程,谢谢!
2025-04-30 05:24:04
推荐回答(1个)
回答1:

原式={(3x+4)/[(x+1)(x-1)]-2(x+1)/[(x+1)(x-1)]}/[(x+2)/(x-1)²]
={(3x+4-2x-2}/[(x+1)(x-1)]}/[(x+2)/(x-1)²]
={(x+2}/[(x+1)(x-1)]}/[(x+2)/(x-1)²]
=(x-1)/(x+1)
把x=根号2代入得
原式=(根号2-1)/(根号2+1)
=(根号2-1)²/[(根号2+1)(根号2-1}]
=(根号2-1)²
=3-2根号2