原式= 1+m (m+2)(m?1) ÷( m2?4 m+2 + 3 m+2 ),= 1+m (m+2)(m?1) ÷ (m+1)(m?1) m+2 ,= 1+m (m+2)(m?1) ? m+2 (m+1)(m?1) ,= 1 (m?1)2 ,把m= 3 +1代入上式:原式= 1 ( 3 +1?1)2 = 1 3 .