因式分解x^2y^2+xy-x^2+y^2+x+y+2抄错提了，是x^2y^2+xy-x^2-y^2+x+y+2_数学解答

因式分解x^2y^2+xy-x^2+y^2+x+y+2
抄错提了，是x^2y^2+xy-x^2-y^2+x+y+2

人气：215 ℃　时间：2020-03-23 10:24:50

解答

原式=（x^2y^2-x2-y2+1)+(xy+x+y+1)
=(x^2-1)(y^2-1)+(x+1)(y+1)
=(x+1)(y+1)[(x-1)(y-1)+1]
=(x+1)(y+1)(xy-x-y+2)