因式分解x^2y^2+xy-x^2+y^2+x+y+2

学习时间:2026-08-23 10:42:08 阅读：8077

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

美满的斑马

2026-08-23 10:42:08

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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)